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พร้อมหรือยังคะ

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สวัสสวัสดีนะคะสวัสดีวันศุกร์นะคะลูกๆทุกคนนะคะ

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วันนี้เจอกับคุณเจนอีกแล้วนะคะ

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2 ชั่วโมงแรกของวันนี้วันนี้เป็นไงบ้างคะลูกอากาศดีไหม

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หนาว

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อากาศดีเนาะ

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ตื่นมาอากาศสดใสเลย

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อากาศเย็นสบาย

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แต่สักพักนะ

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สักพักนึงอีกสักชั่วโมงสองชั่วโมงเดี๋ยวก็ร้อน

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แหวนช่วงนี้อากาศค่อนข้างเปลี่ยนแปลงบ่อยนะคะ

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ลูกๆก็ต้องดูแลตัวเองรักษาสุขภาพตัวเอง

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หนาวก็รีบอาบน้ำให้ไวไม่อาบแช่

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จะได้ไม่

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ไม่สบาย

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นะคะ

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โอเควันนี้นะคะ

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คุณจะมาทบทวน

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ในเรื่องของอนุกรม

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ในชั่วโมงที่แล้วที่เรา

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เรียนกับครูเจนไปเรื่องของอนุกรมความหมายของอนุกรมใช่ไหมคะ

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วันนี้

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น่าจะมา

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ทบทวนอีกครั้งนึงนะคะเพราะว่า

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ในเรื่องของการหาผลบวกลำดับ

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อนุกรม

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มันมีหลายวิธี

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ชั่วโมงที่แล้วเรียนแค่วิธีเดียว

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เนาะ

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วันอื่นนะคะรบกวนนิดนึง

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จำได้ไหมคะอนุกรมหมายถึงอะไรคะ

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อนุกรมคืออะไรใครตอบได้บ้าง

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อนุกรมคืออะไรคะลูก

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อนุกรมคือ

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ได้ไหม

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ชื่ออะไรเอ่ย

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ใครอยากตอบบ้างคะ

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จำได้ไหมจำไม่ได้อ่านทบทวนนะ

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อนุกรมคืออะไรคะอนุกรมคือผลบวกของลำดับ

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โอเคไหม

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เคนะอนุกรมนะคะคือผลบวกของลำดับ

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กูจะทบทวนนะตัวอย่างเช่น

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ถ้าเขาให้ลำดับมา

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135

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อนุกรมของลำดับนี้คืออะไรคะ

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อนุกรมของระดับนี้ก็คือ

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ลำดับแต่ละลำดับใช่ไหมคะ

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นำพด

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ที่ 1 2 3 4 5 ในลำดับเนี่ยมาบวกกันให้หมดเลย

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แค่นั้น

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อนุกรมของลําดับ 1 3 5 7 9

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ก็คือ 1 + 3

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+ 5

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+7

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+ 9

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แล้วเราก็หาผลลัพธ์ออกมาซึ่งมีค่าเท่ากับเท่าไหร่คะ

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25 นั่นเอง

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โอเคไหมคะอันนี้เข้าใจไหมลูก

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เข้าใจนะ

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ชายอนุกรมคือผลบวกของลำดับ

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ถ้ากำหนดให้

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หนูดูนะลูก

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มีตัวแปรใหม่ขึ้นมานะคะตอนนี้ต้องจำนะ

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ถ้ากําหนดให้ sn

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แทนผลบวก n พจน์แรกของลำดับ a n

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ดูนะคะถ้ากำหนดให้ sn เป็นผลบวก n พจน์แรกของลำดับ

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เราจะได้ sn

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เอากลับ

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+ A2 + A3 + ไปเรื่อยๆจนถึง

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อันนี้คืออยู่ในรูปของอนุกรมแล้วนะคะ

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fn ตรงนี้แทนผลบวกของลําดับและอนุกรมนั้นเอง

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มาดูต่อไปนะคะลูก

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เราจำได้ใช่ไหมเรื่องของลำดับจำกัด

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ลำดับจำกัดจำได้ใช่ไหมคะ

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ลำดับที่มี A1 A2 A3 ไปเรื่อยๆจนถึง n

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แบบนี้เรา

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บอกได้ว่า

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มีกี่พจน์ในลำดับนี้ถูกไหมคะ

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bnk

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ถ้าเราเขียนในรูปของอนุกรมมันจะเป็นอนุกรมจำกัด

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ก็คือ A1

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+ A2 + A3 ไปเรื่อยๆจนถึง + a n

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นะคะ

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ถ้าเป็นลำดับอนันต์ล่ะ

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อันดับอนันต์ก็คืออันดับที่เรา

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ไม่สามารถบอกได้ว่ามีกี่พจน์

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vn1 A2 A3 ไปเล่นถึง n

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แล้วยังมีต่อไปเรื่อยๆอีก

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คือเราไม่รู้ว่ามีกี่โพสต์บอกไม่ได้ถ้ามาเขียนในรูปอนุกรม

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ก็จะเป็นอนุกรมอนันต์

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นะคะก็คือ A1 + A2 + A3 + ไปเรื่อยถึง n

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แล้วยังบวกต่ออีกไปเรื่อยๆ

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แบบนี้เวลานั้นตรงนี้เราสามารถสรุปได้ว่า

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อนุกรมจำกัด

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ก็คือมาจากลำดับจำกัดนั่นเอง

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นานและอนุกรมอนันต์ก็คือมาจาก

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น้ำหนักขนาดนั้นเอง

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นะคะ

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ทีนี้มาดูตัวแปร

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ในแต่ละตัวใน

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อนุกรมนี้นะคะ

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ตัวแรกคือ

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A2 A3 A4 ตรงนี้

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ลูกๆน่าจะพอจำได้ว่ามันคือ

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A1 ก็คือกดที่

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พจน์ที่

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หนึ่งในโลกก็คือพจน์ที่

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2 ใช่ไหม

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A3 ก็คือพจน์ที่

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3

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a n ก็คือพจน์ที่

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ซึ่งตัวแปรในตรงนี้ที่เราต้องลุกต้องเข้าใจและต้องจำให้ได้ตรงนี้นะลูก

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sn

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วันนี้ขึ้นมาใหม่นะแกมาใหม่นะลูก sn

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คือผลบวก n พจน์แรกของลำดับ a n นั่นเองหรือ

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อนุกรมนั้นเอง

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มีไหมทีนี้มาดูการหาอนุกรมนะคะ

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ชั่วโมงที่แล้วเราหาตัวอย่างนี้ใช่ไหมลูก

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ชั่วโมงนี้เราจะมาหาตัวอย่างนี้กันนะคะ

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ตัวอย่างนี้

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ดูตัวอย่างนี้นะดูการหาอนุกรมตัวอย่างนี้นะคะ

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ถ้าเรากำหนดให้ a n

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เท่ากับ

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5 n - 4

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คุ้นๆไหมลูก

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a n = 5 n - 4

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มันอยู่ในรูปของอะไรคะ

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จะได้ไหม

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บ่แม่นเล่นแล้วลืมเด้อลูกต้องจำน้าเรียนมาต้องจำเอามาใช้ด้วยนะคะ

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กำหนดให้ a n = 5 n - 4

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เป็นรูปแบบทดทั่วไปถูกไหมคะ

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ใช่ไหม

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แล้วให้เราหา F5 เท่ากับเท่าใด

238
00:07:25,348 --> 00:07:30,621
F5 ตอนนี้คือผลบวกอนุกรมใช่ไหมคะผลบวกลำดับและอนุกรมถูกไหม

239
00:07:31,247 --> 00:07:34,004
อนุกรมของ a n = 5 n - 4

240
00:07:34,896 --> 00:07:38,426
ให้เราหาหายังไงคะมาดูวิธีทำ

241
00:07:38,345 --> 00:07:38,648

242
00:07:38,608 --> 00:07:39,709
ดูหนัง

243
00:07:40,913 --> 00:07:42,505
rs5

244
00:07:44,564 --> 00:07:44,878

245
00:07:44,827 --> 00:07:45,576

246
00:07:45,906 --> 00:07:51,748
F5 ก็ต้องมาจาก A1 + A2 + A3 + S4 ถึง + A5 ใช่หรือไม่

247
00:07:52,124 --> 00:07:53,007
ใช่ไหมคะ

248
00:07:53,986 --> 00:07:54,801

249
00:07:54,943 --> 00:07:55,224

250
00:07:55,265 --> 00:07:55,537

251
00:07:55,590 --> 00:07:56,656
F5

252
00:07:57,386 --> 00:07:57,693

253
00:07:57,767 --> 00:07:58,317

254
00:07:58,593 --> 00:08:00,112
ผลบวกของลำดับ

255
00:08:00,134 --> 00:08:01,889
15 โพสต์ถูกไหมคะ

256
00:08:02,503 --> 00:08:03,450
ใช่ไหม

257
00:08:03,665 --> 00:08:05,255
ที่นี้เรามาดูว่า

258
00:08:05,196 --> 00:08:08,715
เราจะหา A1 A2 A3 A4 A5 ได้ยังไง

259
00:08:10,185 --> 00:08:14,163
เราก็แค่ทำไงคะลูกแทน

260
00:08:15,315 --> 00:08:16,867
ถูกไหมคะ

261
00:08:17,176 --> 00:08:19,469
hair men

262
00:08:19,733 --> 00:08:22,384
ตรงนี้ค่ะลูกตัวแปลตรงนี้ด้วย 1

263
00:08:22,362 --> 00:08:24,997
2-3 ด้วยสิ

264
00:08:25,695 --> 00:08:26,580
แค่นั้นเอง

265
00:08:26,657 --> 00:08:28,075
มาดูมาดูยังไง

266
00:08:28,132 --> 00:08:28,693

267
00:08:28,643 --> 00:08:29,718

268
00:08:29,863 --> 00:08:30,157

269
00:08:30,113 --> 00:08:33,823
5 ก็เหมือนเดิมยังไม่รู้

270
00:08:33,704 --> 00:08:34,989
ไอ้ตรงเนี้ย

271
00:08:35,555 --> 00:08:38,767
เปลี่ยนจาก n เป็นเลขอะไรคะเล็ก 1

272
00:08:38,763 --> 00:08:40,510
เพราะเราต้องหาเอง

273
00:08:40,493 --> 00:08:42,363
ต้องการหา A1 ใช่ไหม

274
00:08:42,223 --> 00:08:42,510

275
00:08:42,473 --> 00:08:44,612
แล้วแฟนเองแป๊บนึงแล้วนะ

276
00:08:44,592 --> 00:08:46,459
5 * 1 ได้เท่าไหร่คะ

277
00:08:46,519 --> 00:08:46,739

278
00:08:47,543 --> 00:08:48,163

279
00:08:48,184 --> 00:08:49,509
คุณหนึ่ง

280
00:08:50,222 --> 00:08:50,493

281
00:08:50,423 --> 00:08:50,682

282
00:08:50,616 --> 00:08:53,631
x

283
00:08:53,622 --> 00:08:58,522
1 ใน 5 นะ 5 * 1 ได้ 5 - เท่าไหร่คะ

284
00:08:58,364 --> 00:08:58,623

285
00:08:59,264 --> 00:09:00,356
ลบ 4

286
00:09:00,734 --> 00:09:00,991

287
00:09:01,252 --> 00:09:02,263

288
00:09:03,424 --> 00:09:06,376
5 - 4 ถูกต้องค่ะได้ 1

289
00:09:06,432 --> 00:09:06,748

290
00:09:06,694 --> 00:09:06,977

291
00:09:06,882 --> 00:09:08,753
A1 แล้วได้ 1 แล้วนะ

292
00:09:08,802 --> 00:09:10,800
จะไปหา A2 ต่อค่ะ

293
00:09:10,926 --> 00:09:11,420

294
00:09:11,625 --> 00:09:13,098
ถ้าเหมือนเดิม

295
00:09:13,224 --> 00:09:13,653

296
00:09:13,805 --> 00:09:15,638
จะเปลี่ยนตรงนี้เป็นเลข

297
00:09:17,194 --> 00:09:22,834
2 ชาย 5 * 2 = 10 ถูกต้องและลบออก 45

298
00:09:22,905 --> 00:09:23,206

299
00:09:23,473 --> 00:09:25,092
ถูกต้องค่ะแล้ว 6

300
00:09:25,335 --> 00:09:27,686
เอส 26 แล้วนะ

301
00:09:27,385 --> 00:09:28,986
จะไป A3

302
00:09:29,184 --> 00:09:29,626

303
00:09:29,624 --> 00:09:32,765
เหมือนเดิมเปลี่ยนเอ็นตรงนี้เป็นเลข 3 ค่ะ

304
00:09:32,573 --> 00:09:32,811

305
00:09:32,954 --> 00:09:34,357
5 * 3

306
00:09:35,016 --> 00:09:38,979
ถูกต้องค่ะ 15 เก่งมากลูก

307
00:09:40,773 --> 00:09:42,582
ถูกต้องค่ะ 11

308
00:09:42,894 --> 00:09:45,837
อีสานได้ 11 แล้วนะ

309
00:09:46,095 --> 00:09:51,307
เหมือนเดิมเปลี่ยน n เป็นเลข 4 ค่ะ 5 * 4 ได้

310
00:09:51,471 --> 00:09:51,751

311
00:09:51,603 --> 00:09:53,048
น้องขาย 20

312
00:09:53,013 --> 00:09:54,425
20 - 4

313
00:09:55,503 --> 00:09:55,742

314
00:09:57,101 --> 00:09:59,976
16 โอเคเก่งมาก

315
00:10:00,063 --> 00:10:03,220
16 นะคะต่อไป A5 ตัวสุดท้ายค่ะ

316
00:10:03,132 --> 00:10:03,363

317
00:10:03,324 --> 00:10:04,531
5:00 น

318
00:10:04,604 --> 00:10:05,751
หน้าเหมือนเดิม

319
00:10:06,331 --> 00:10:08,977
เปลี่ยน n เป็นเลข 5 ค่ะฮ่าๆๆ

320
00:10:09,024 --> 00:10:11,888
25 เก่งมากค่ะลูกซี

321
00:10:12,223 --> 00:10:16,011
21 ชายเพราะฉะนั้นเห็นไหมคะ

322
00:10:15,942 --> 00:10:17,339
F5

323
00:10:18,185 --> 00:10:24,598
เราก็หาได้จากน้ำ A1 + A2 + A3 + 4 + A5 ที่เราหาได้

324
00:10:25,103 --> 00:10:25,813

325
00:10:25,871 --> 00:10:27,833
เราก็จะได้เป็นนึง

326
00:10:28,504 --> 00:10:29,584
+

327
00:10:29,655 --> 00:10:31,635
6 +

328
00:10:31,583 --> 00:10:34,906
11 + 16 และ + 21

329
00:10:35,422 --> 00:10:37,637
และเราก็หาผลลัพธ์ออกมาค่ะ

330
00:10:38,044 --> 00:10:40,604
ตอนนี้กูจะหาไว้ให้แล้วเท่ากับเท่าไหร่คะ

331
00:10:40,673 --> 00:10:43,305
55 นั้นเองเพราะฉะนั้น

332
00:10:43,301 --> 00:10:44,504
F5

333
00:10:45,347 --> 00:10:48,789
ของ a n = 5 n - 4 เท่ากับเท่าไหร่คะ

334
00:10:49,263 --> 00:10:50,813
55 นั่นเอง

335
00:10:52,013 --> 00:10:52,979
ใช่ไหมคะ

336
00:10:53,356 --> 00:10:55,237
มีใครจะถามอะไรไหมตรงนี้

337
00:10:55,462 --> 00:10:56,025

338
00:10:56,504 --> 00:10:57,834
ถามไหม

339
00:10:57,904 --> 00:10:59,891
ไม่ถามเดี๋ยวคุณเจนจะ

340
00:10:59,824 --> 00:11:00,132

341
00:11:00,083 --> 00:11:00,299

342
00:11:00,723 --> 00:11:04,700
ให้ลองทำนะคะมีตัวอย่างให้ลองทำนะ

343
00:11:05,142 --> 00:11:09,146
ข้อ 1 กับข้อ 2 ข้อ 1 ข้อ 2 กูจะพาทำก่อน

344
00:11:10,142 --> 00:11:13,719
จะพาทำก่อนมาดูนะ

345
00:11:13,664 --> 00:11:13,903

346
00:11:13,985 --> 00:11:14,267

347
00:11:14,563 --> 00:11:14,807

348
00:11:14,884 --> 00:11:17,427
โจทย์กำหนดให้ a n

349
00:11:17,441 --> 00:11:17,727

350
00:11:18,214 --> 00:11:18,435

351
00:11:18,533 --> 00:11:20,699
= 2n + 1

352
00:11:20,653 --> 00:11:20,952

353
00:11:21,670 --> 00:11:25,209
เขาถามว่า S4 จะมีค่าเท่าใด

354
00:11:25,514 --> 00:11:26,321

355
00:11:26,472 --> 00:11:27,673

356
00:11:28,145 --> 00:11:29,512
GN นะ

357
00:11:29,492 --> 00:11:29,996

358
00:11:30,063 --> 00:11:30,384

359
00:11:30,512 --> 00:11:32,564
กลับ 2 n

360
00:11:32,821 --> 00:11:34,018
+1

361
00:11:34,613 --> 00:11:34,857

362
00:11:34,992 --> 00:11:35,272

363
00:11:35,182 --> 00:11:37,876
หา F4 ค่ะ

364
00:11:37,824 --> 00:11:38,210

365
00:11:38,330 --> 00:11:40,897
อันดับแรกทำยังไงนะ

366
00:11:40,952 --> 00:11:41,229

367
00:11:42,493 --> 00:11:46,271
ได้ทำไมคะแล้วต้องหาอะไรลูกหาเอง

368
00:11:46,277 --> 00:11:47,155
1

369
00:11:47,302 --> 00:11:48,738
Play 2

370
00:11:48,702 --> 00:11:50,069
A3

371
00:11:49,981 --> 00:11:52,033
4:00 น ใช่ไหม

372
00:11:52,161 --> 00:11:53,130
ถูกไหมคะ

373
00:11:53,510 --> 00:11:53,747

374
00:11:54,341 --> 00:11:59,520
โทรหา A1 A2 A3 A4 ออกมาก่อนใช่ไหมโอเคนะ

375
00:11:59,460 --> 00:12:00,587
j2

376
00:12:00,811 --> 00:12:01,784
อีสาน

377
00:12:01,903 --> 00:12:03,360
อีปริก

378
00:12:03,252 --> 00:12:03,866

379
00:12:04,083 --> 00:12:05,107

380
00:12:05,102 --> 00:12:11,472
หายังไงเอ่ยหาจากการแทนค่าถูกไหมจากการแทนค่า 2n

381
00:12:11,582 --> 00:12:12,902
+1 ตรงนี้

382
00:12:13,751 --> 00:12:14,563

383
00:12:14,712 --> 00:12:14,944

384
00:12:15,032 --> 00:12:15,599

385
00:12:15,862 --> 00:12:18,766
ดูก่อนนะลูกนะตั้งใจฟังนี้ก่อน

386
00:12:18,821 --> 00:12:19,067

387
00:12:19,201 --> 00:12:21,610
มองมองพิราบนกพิราบ

388
00:12:21,821 --> 00:12:22,062

389
00:12:22,592 --> 00:12:25,291
มองพี่รามค่ะ

390
00:12:25,149 --> 00:12:27,846
ไม่เข้าใจนะมองพี่ล่างก่อน

391
00:12:27,782 --> 00:12:28,479

392
00:12:28,679 --> 00:12:28,926

393
00:12:30,279 --> 00:12:32,208
หา A1

394
00:12:32,202 --> 00:12:35,028
A1 จากการแทนค่า

395
00:12:35,222 --> 00:12:36,417
2

396
00:12:37,522 --> 00:12:39,608
x n n คือ 1

397
00:12:40,083 --> 00:12:40,362

398
00:12:40,271 --> 00:12:43,682
ได้ค่ะแล้วบวกด้วย 1 อีกทีนึง

399
00:12:44,059 --> 00:12:44,576

400
00:12:44,572 --> 00:12:44,822

401
00:12:45,020 --> 00:12:45,297

402
00:12:45,340 --> 00:12:45,564

403
00:12:45,533 --> 00:12:47,055
2 * 1 ค่ะ

404
00:12:47,063 --> 00:12:47,259

405
00:12:47,258 --> 00:12:51,012
หมวกมาเรียบร้อยเก่งมากเลยด้วยซ้ำเมียค่ะ

406
00:12:50,852 --> 00:12:51,154

407
00:12:51,233 --> 00:12:55,184
ข้อ 2 คูณ 1 เป็น 2 ใช่ไหมคะลูกบวกหนึ่งก็เป็น

408
00:12:55,070 --> 00:12:58,732
สามเหลี่ยมมาก A2 ต่อค่ะ

409
00:12:58,920 --> 00:12:59,123

410
00:12:59,238 --> 00:13:00,250
2

411
00:13:00,464 --> 00:13:00,760

412
00:13:00,780 --> 00:13:01,739
x

413
00:13:01,862 --> 00:13:05,567
เขียน n2 อย่ามาแล้วก็บอกอีกทีนึง

414
00:13:05,511 --> 00:13:05,731

415
00:13:06,091 --> 00:13:07,948
2 * 2 เป็น

416
00:13:08,343 --> 00:13:10,708
cc + 1 เป็น

417
00:13:10,579 --> 00:13:12,609
เก่งมาก

418
00:13:12,623 --> 00:13:12,877

419
00:13:13,261 --> 00:13:13,643

420
00:13:13,710 --> 00:13:16,818
ใครคิดไม่ทันรีบๆคิดนะ

421
00:13:16,859 --> 00:13:17,157

422
00:13:17,180 --> 00:13:19,808
ไอ้คิดไม่ทันรีบคิดนะคะ

423
00:13:19,741 --> 00:13:20,168

424
00:13:20,179 --> 00:13:22,050
จะไป A3

425
00:13:22,302 --> 00:13:22,604

426
00:13:22,622 --> 00:13:25,915
2 เหมือนเดิมเปลี่ยน n เป็นเลข 3

427
00:13:25,822 --> 00:13:26,049

428
00:13:25,952 --> 00:13:28,754
เป็น 2 * 3 ใช่ไหมคะ

429
00:13:28,640 --> 00:13:29,907
บวกอีก 1

430
00:13:29,982 --> 00:13:31,964
23 เป็น

431
00:13:33,132 --> 00:13:36,097
23 เป็น 66 + 1 เป็น

432
00:13:36,069 --> 00:13:36,303

433
00:13:36,459 --> 00:13:39,868
7 ถูกต้องค่ะเก่งจังเลยห้องนี้

434
00:13:39,859 --> 00:13:40,165

435
00:13:40,110 --> 00:13:41,819
ใบสุดท้าย A4

436
00:13:41,779 --> 00:13:43,764
A4 นะ

437
00:13:43,762 --> 00:13:46,533
2 เหมือนเดิมเปลี่ยน n เป็น

438
00:13:46,769 --> 00:13:48,937
424 เป็น

439
00:13:49,021 --> 00:13:52,612
8 8 + 1 เป็น 9 เก่งมาค่ะ

440
00:13:52,659 --> 00:13:55,870
เราได้แล้วคือ A1 A2 A3 A4

441
00:13:55,860 --> 00:13:58,307
จากนั้นเราจะมาหา S4

442
00:13:58,880 --> 00:14:02,376
แล้วเขียน S4 ขึ้นมาเขาลบเท่ากับ

443
00:14:02,590 --> 00:14:02,800

444
00:14:02,720 --> 00:14:07,521
A1 + A2 + A3 +

445
00:14:07,592 --> 00:14:08,566
4:00 น

446
00:14:08,809 --> 00:14:09,094

447
00:14:09,578 --> 00:14:15,160
เอา A1 A2 A3 A4 ที่เราหาได้ถูกไหมคะมาแทนหนูไปเลย

448
00:14:15,090 --> 00:14:16,804
A1 คือ

449
00:14:16,754 --> 00:14:18,015
3

450
00:14:18,158 --> 00:14:20,557
h2 คือ 5

451
00:14:20,457 --> 00:14:20,708

452
00:14:20,858 --> 00:14:23,989
A3 คือ 7 และ A4 คือ 9

453
00:14:24,252 --> 00:14:24,684

454
00:14:24,701 --> 00:14:25,197

455
00:14:25,209 --> 00:14:27,324
ลูกๆลองบวกสิลูก

456
00:14:27,639 --> 00:14:29,932

457
00:14:29,888 --> 00:14:30,771

458
00:14:30,782 --> 00:14:31,054

459
00:14:31,038 --> 00:14:31,794

460
00:14:31,738 --> 00:14:32,365

461
00:14:32,581 --> 00:14:32,824

462
00:14:32,900 --> 00:14:35,631
24

463
00:14:35,651 --> 00:14:36,856

464
00:14:36,930 --> 00:14:37,296

465
00:14:37,700 --> 00:14:38,143

466
00:14:38,469 --> 00:14:40,837
คลิป

467
00:14:40,899 --> 00:14:46,249
24 เอามาดูว่าใช่ไหม 3 + 5 เท่าไหร่คะ

468
00:14:47,761 --> 00:14:48,839
3

469
00:14:48,778 --> 00:14:50,242
+ 5

470
00:14:50,319 --> 00:14:51,210
เป็น

471
00:14:51,278 --> 00:14:55,398
8 ค่ะ 8 + 7

472
00:14:55,580 --> 00:14:56,078

473
00:14:57,178 --> 00:14:57,533

474
00:14:57,620 --> 00:15:03,789
5555 + 924 เก่งมากค่ะ

475
00:15:04,671 --> 00:15:05,419

476
00:15:06,080 --> 00:15:06,329

477
00:15:06,271 --> 00:15:07,292
ได้ไหม

478
00:15:08,509 --> 00:15:10,101
เข้าใจไหมคะ

479
00:15:10,251 --> 00:15:10,880

480
00:15:10,820 --> 00:15:14,149
โอเคค่ะดูตัวอย่างต่อไปค่ะตัวอย่างที่ 2

481
00:15:14,019 --> 00:15:14,254

482
00:15:14,730 --> 00:15:14,953

483
00:15:14,921 --> 00:15:17,813
2 อย่างพอนะอาจจะไม่ได้ให้ทำเองนะ

484
00:15:17,802 --> 00:15:19,091
เรื่องที่ 2 ค่ะ

485
00:15:19,152 --> 00:15:19,467

486
00:15:19,920 --> 00:15:20,805

487
00:15:20,748 --> 00:15:21,318

488
00:15:21,463 --> 00:15:22,400

489
00:15:22,480 --> 00:15:22,798

490
00:15:22,930 --> 00:15:23,174

491
00:15:23,118 --> 00:15:24,556
a n

492
00:15:24,462 --> 00:15:26,310
กำหนดให้ a n

493
00:15:26,518 --> 00:15:27,596
เท่ากับ

494
00:15:27,669 --> 00:15:30,110
3n - 2

495
00:15:30,042 --> 00:15:30,270

496
00:15:30,231 --> 00:15:30,452

497
00:15:30,418 --> 00:15:31,050

498
00:15:31,898 --> 00:15:33,419
ให้หาค่า

499
00:15:35,297 --> 00:15:38,638
หาค่าของ s6 ค่ะ

500
00:15:39,391 --> 00:15:39,678

501
00:15:39,647 --> 00:15:41,171

502
00:15:41,247 --> 00:15:43,318
ข้าง S6

503
00:15:43,239 --> 00:15:46,968
ทำยังไงนะอันดับแรกเราต้องหาอะไรก่อนคะ

504
00:15:47,021 --> 00:15:47,312

505
00:15:47,400 --> 00:15:48,422

506
00:15:48,622 --> 00:15:49,497
1

507
00:15:50,220 --> 00:15:51,270
A

508
00:15:51,252 --> 00:15:52,206
โสม

509
00:15:52,139 --> 00:15:52,370

510
00:15:52,341 --> 00:15:53,214

511
00:15:53,226 --> 00:15:57,369
3 a c a 5 จนถึงเอ

512
00:15:57,519 --> 00:15:57,757

513
00:15:57,707 --> 00:15:59,723
ทำไมถึงหาเคส A6 คะ

514
00:15:59,901 --> 00:16:00,347

515
00:16:00,538 --> 00:16:03,479
เพราะโจทย์ต้องการทราบแค่ F

516
00:16:03,799 --> 00:16:04,063

517
00:16:04,119 --> 00:16:04,887

518
00:16:05,588 --> 00:16:06,477
ใช่ไหม

519
00:16:06,487 --> 00:16:09,165
โอเคนะงั้นเรามาดูค่ะ

520
00:16:09,379 --> 00:16:12,061
หา A1 A2

521
00:16:12,131 --> 00:16:14,126
ตี 3 ตี 4

522
00:16:14,238 --> 00:16:16,526
A5 A6

523
00:16:16,939 --> 00:16:17,343

524
00:16:17,448 --> 00:16:19,219

525
00:16:19,180 --> 00:16:22,680
โดยการแทนค่าส่งไหมคะแทนค่า n

526
00:16:22,630 --> 00:16:22,844

527
00:16:23,079 --> 00:16:27,095
ในสมการ OK เอามาดูค่ะ 3

528
00:16:27,567 --> 00:16:31,702
1 n แทนค่าด้วย 1 ค่ะ 3 * 1 เป็น

529
00:16:32,889 --> 00:16:35,516
33 - 2

530
00:16:35,897 --> 00:16:36,282

531
00:16:36,408 --> 00:16:40,199
3 - 2 ซองค่ะ

532
00:16:40,508 --> 00:16:40,797

533
00:16:41,147 --> 00:16:44,317
ระบาย S2 ค่ะ

534
00:16:44,800 --> 00:16:45,039

535
00:16:45,057 --> 00:16:48,629
3 อันเดิมแนนด้วย 2

536
00:16:48,709 --> 00:16:50,562
32 เป็น

537
00:16:51,269 --> 00:16:53,112

538
00:16:53,258 --> 00:16:55,631
เดี๋ยวเอาตังค์ให้ก่อนเอา 3

539
00:16:55,748 --> 00:16:57,556
คูณ 2 ก่อน

540
00:16:57,489 --> 00:17:00,927
R32 เป็น 6 ไปหกล้ม

541
00:17:00,816 --> 00:17:01,764
2

542
00:17:03,698 --> 00:17:04,457

543
00:17:04,586 --> 00:17:08,609
ใครหนึ่งคะใครหนึ่งคะ

544
00:17:08,441 --> 00:17:08,702

545
00:17:08,566 --> 00:17:12,819
6 - 201 แล้วลูก

546
00:17:12,661 --> 00:17:13,503
กบ

547
00:17:13,566 --> 00:17:15,155
ลบ

548
00:17:15,418 --> 00:17:18,639
ลบใช่ไหมเหลือ

549
00:17:18,747 --> 00:17:22,111
43

550
00:17:22,469 --> 00:17:24,519
3 x

551
00:17:24,776 --> 00:17:27,467
3 เป็น 99 -

552
00:17:27,776 --> 00:17:29,377
2 เหลือ

553
00:17:29,577 --> 00:17:32,278
เจ็บลึกต้อมค่ะ

554
00:17:32,457 --> 00:17:34,125
อะไรนะเนี่ย

555
00:17:34,057 --> 00:17:37,925
คุณเลิกเร็วนะพี่เดี๋ยวส่งแข่ง

556
00:17:37,779 --> 00:17:39,052
เดี๋ยวส่งไปแข่ง

557
00:17:39,256 --> 00:17:40,580

558
00:17:40,787 --> 00:17:41,084

559
00:17:41,050 --> 00:17:44,201
ไปนะต้องซ้อมนะจะไป SC

560
00:17:44,248 --> 00:17:44,614

561
00:17:44,756 --> 00:17:46,686
3 x

562
00:17:46,618 --> 00:17:46,891

563
00:17:47,197 --> 00:17:47,427

564
00:17:47,461 --> 00:17:51,233
42 ใช่ไหม 52 ลบ

565
00:17:52,260 --> 00:17:52,943

566
00:17:52,898 --> 00:17:53,457

567
00:17:53,596 --> 00:17:54,418

568
00:17:54,436 --> 00:17:54,709

569
00:17:54,697 --> 00:17:58,147
ใครไม่ได้ใครไม่ได้เพื่อนได้แล้ว 2 เพื่อนได้แล้ว 3

570
00:17:58,215 --> 00:17:59,629
ใครไม่ได้คะ

571
00:17:59,687 --> 00:18:00,501

572
00:18:00,896 --> 00:18:02,394
ไม่แน่ใจ

573
00:18:02,315 --> 00:18:03,133

574
00:18:03,146 --> 00:18:06,686
4 * 3 จะได้ไหม

575
00:18:06,991 --> 00:18:07,267

576
00:18:07,308 --> 00:18:07,748

577
00:18:07,888 --> 00:18:08,169

578
00:18:09,170 --> 00:18:10,704
Saki

579
00:18:10,707 --> 00:18:11,111

580
00:18:11,157 --> 00:18:12,551
ได้คำตอบไหม

581
00:18:12,695 --> 00:18:18,408
อะไรแปลกจอยเขาได้ 10 กันหมดทำไมไม่ได้ 8

582
00:18:18,657 --> 00:18:20,830
10 น้า 10 นะคะ

583
00:18:21,917 --> 00:18:23,577
A5 กับลูก

584
00:18:23,533 --> 00:18:25,445
3 x

585
00:18:25,816 --> 00:18:27,032

586
00:18:27,048 --> 00:18:27,285

587
00:18:27,497 --> 00:18:29,541
ลบ 2

588
00:18:29,477 --> 00:18:29,708

589
00:18:29,737 --> 00:18:31,390

590
00:18:31,336 --> 00:18:33,746
คิดเร็วแท้

591
00:18:34,466 --> 00:18:34,714

592
00:18:34,855 --> 00:18:37,299
14 มาจากไหน

593
00:18:37,228 --> 00:18:42,634
เพื่อนตอบไปแล้วนะ 3 * 5 ได้เท่าไหร่

594
00:18:44,467 --> 00:18:45,611
3

595
00:18:45,816 --> 00:18:48,286
3 * 5

596
00:18:49,016 --> 00:18:51,835
15 ถูกไหมแล้วก็ลบ

597
00:18:52,416 --> 00:18:53,634
นพ

598
00:18:53,564 --> 00:18:55,591
2 เหนือ

599
00:18:55,616 --> 00:18:56,317
10

600
00:18:56,769 --> 00:18:59,176
3 ถูกต้องค่ะ

601
00:18:59,846 --> 00:19:00,526

602
00:19:00,489 --> 00:19:00,761

603
00:19:00,676 --> 00:19:02,257
สุดท้าย A6 ลูก

604
00:19:02,337 --> 00:19:04,311
3 * 6

605
00:19:05,097 --> 00:19:05,857

606
00:19:06,437 --> 00:19:10,024
3 * 6 - 2

607
00:19:10,154 --> 00:19:11,249
10

608
00:19:11,307 --> 00:19:12,830
เพราะว่า

609
00:19:13,098 --> 00:19:13,532

610
00:19:13,676 --> 00:19:13,961

611
00:19:13,939 --> 00:19:17,273
ให้เพื่อนตามไปด้วยก่อน

612
00:19:17,585 --> 00:19:18,418

613
00:19:18,547 --> 00:19:19,507
ตัวนี้ก่อน

614
00:19:19,505 --> 00:19:20,247

615
00:19:22,329 --> 00:19:23,941
63 เท่าไหร่

616
00:19:24,377 --> 00:19:25,896

617
00:19:26,045 --> 00:19:29,551
6 * 3

618
00:19:29,569 --> 00:19:29,939

619
00:19:30,014 --> 00:19:30,369

620
00:19:30,658 --> 00:19:30,888

621
00:19:30,846 --> 00:19:33,482
6 * 3 ก่อนลูกเอา 6

622
00:19:33,477 --> 00:19:35,386
คูณสาม

623
00:19:36,415 --> 00:19:36,849

624
00:19:37,058 --> 00:19:38,266
6

625
00:19:38,277 --> 00:19:39,406
x

626
00:19:39,496 --> 00:19:41,020
3

627
00:19:41,295 --> 00:19:41,561

628
00:19:41,615 --> 00:19:41,878

629
00:19:42,257 --> 00:19:44,694
ดีๆ 6 * 3

630
00:19:45,456 --> 00:19:45,741

631
00:19:45,837 --> 00:19:52,320
3 * 6 3 18 แต่มันก็เอา 18 มาลบออก

632
00:19:52,178 --> 00:19:52,731

633
00:19:52,946 --> 00:19:56,727
2 เหลือ 14 ถูกต้องค่ะ

634
00:19:57,624 --> 00:19:57,855

635
00:19:57,949 --> 00:19:58,256

636
00:19:59,167 --> 00:19:59,659

637
00:19:59,938 --> 00:20:04,219
เราได้แล้วนะ s1p s6 ก็ได้มาแล้วพวกนั้น

638
00:20:04,023 --> 00:20:05,823
ค่าของ S6

639
00:20:07,426 --> 00:20:09,146
ก็คือน้ำอะไรคะ

640
00:20:09,217 --> 00:20:12,340
A1 + A2 +

641
00:20:12,734 --> 00:20:15,528
A3 + A4 +

642
00:20:15,758 --> 00:20:17,929
5:00 น และก็บวก A6

643
00:20:18,059 --> 00:20:18,269

644
00:20:18,447 --> 00:20:19,321

645
00:20:19,334 --> 00:20:23,145
สินค้าของ a16 ก็ได้มาแล้วเราก็นำมา

646
00:20:23,185 --> 00:20:25,774
บวกอะไรคะ 1 + 4

647
00:20:26,327 --> 00:20:26,578

648
00:20:26,837 --> 00:20:32,105
บวกด้วยเจ็บ

649
00:20:33,116 --> 00:20:33,685

650
00:20:34,588 --> 00:20:34,859

651
00:20:35,416 --> 00:20:39,825
12 เก่งมากค่ะแล้วก็บวกด้วย 10

652
00:20:39,845 --> 00:20:40,078

653
00:20:40,543 --> 00:20:40,947

654
00:20:41,318 --> 00:20:41,682

655
00:20:42,334 --> 00:20:42,651

656
00:20:42,593 --> 00:20:43,814

657
00:20:44,254 --> 00:20:44,569

658
00:20:44,575 --> 00:20:44,994

659
00:20:44,703 --> 00:20:48,301
1 + 4 เป็น 5 5 + 7

660
00:20:48,233 --> 00:20:50,790
12 12 + 10

661
00:20:50,924 --> 00:20:51,160

662
00:20:51,564 --> 00:20:51,942

663
00:20:52,073 --> 00:20:53,607
20

664
00:20:53,733 --> 00:20:54,449

665
00:20:54,384 --> 00:20:55,851
2

666
00:20:55,861 --> 00:20:57,767
+ 13

667
00:20:57,714 --> 00:20:57,960

668
00:20:57,903 --> 00:20:58,180

669
00:20:58,033 --> 00:20:58,290

670
00:20:58,353 --> 00:20:58,822

671
00:20:58,994 --> 00:21:03,736
22 + 13 35

672
00:21:03,734 --> 00:21:04,015

673
00:21:03,864 --> 00:21:05,578
+ 14

674
00:21:06,558 --> 00:21:06,848

675
00:21:06,812 --> 00:21:07,503

676
00:21:08,475 --> 00:21:10,470
40

677
00:21:10,394 --> 00:21:12,755

678
00:21:12,774 --> 00:21:15,205
19 ถูกไหมคะ

679
00:21:18,142 --> 00:21:19,416

680
00:21:19,564 --> 00:21:22,435
5222

681
00:21:22,442 --> 00:21:25,511
3549

682
00:21:25,454 --> 00:21:25,700

683
00:21:26,853 --> 00:21:29,762
ได้คำตอบเรียบร้อยถูกไหม

684
00:21:29,872 --> 00:21:35,667
ตอบถูกไหม 49 โอเคมาถึงตรงนี้เป็นไงบ้างคะลูก

685
00:21:36,285 --> 00:21:36,573

686
00:21:36,664 --> 00:21:37,824
เข้าใจไหม

687
00:21:38,074 --> 00:21:39,211
อยากไปไหม

688
00:21:39,734 --> 00:21:41,222
ไม่เข้าใจไม่เข้าใจไหม

689
00:21:41,463 --> 00:21:42,473
เข้าใจ

690
00:21:42,745 --> 00:21:43,696
เข้าใจไหม

691
00:21:43,845 --> 00:21:44,080

692
00:21:44,545 --> 00:21:48,957
แน่ใจนะเข้าใจไหมลูกจ่อย

693
00:21:50,494 --> 00:21:51,770
เข้าใจไหม

694
00:21:51,975 --> 00:21:52,413

695
00:21:52,493 --> 00:21:52,776

696
00:21:53,003 --> 00:21:53,311

697
00:21:53,383 --> 00:21:56,087
เข้าใจนะถ้าเข้าใจต้องทำแบบฝึกได้นะ

698
00:21:56,394 --> 00:21:56,634

699
00:21:56,842 --> 00:22:01,857
แล้วกูจะมีแบบฝึกให้ทำตรงนี้ใครมีอะไรจะถามไหมคะลูก

700
00:22:02,032 --> 00:22:02,268

701
00:22:02,163 --> 00:22:03,361
มีอะไรจะถามไหม

702
00:22:03,954 --> 00:22:04,201

703
00:22:04,212 --> 00:22:08,774
ไม่ถามถามกันหน่อยก็ได้นะลูกนะกูจะอยากตอบ

704
00:22:08,822 --> 00:22:09,102

705
00:22:09,012 --> 00:22:09,314

706
00:22:09,593 --> 00:22:11,664
มาดูตัวอย่างนี้ค่ะ

707
00:22:11,892 --> 00:22:12,138

708
00:22:12,092 --> 00:22:12,381

709
00:22:12,415 --> 00:22:12,684

710
00:22:13,115 --> 00:22:14,006

711
00:22:13,942 --> 00:22:14,668

712
00:22:14,584 --> 00:22:14,978

713
00:22:15,034 --> 00:22:15,287

714
00:22:15,291 --> 00:22:15,792

715
00:22:15,734 --> 00:22:16,032

716
00:22:15,934 --> 00:22:16,205

717
00:22:16,184 --> 00:22:19,772
ดูหนาขอ 1 ข้อ 2 3 4 5

718
00:22:20,483 --> 00:22:22,916
ถ่ายรูปทำในสมุดนะคะ

719
00:22:23,933 --> 00:22:26,262
อมรจอยมอง

720
00:22:26,183 --> 00:22:26,619

721
00:22:26,764 --> 00:22:29,498
จ่อยมองค่ะลูกรู้ไหมกูจะได้ทำอะไร

722
00:22:29,573 --> 00:22:29,806

723
00:22:30,094 --> 00:22:30,515

724
00:22:30,663 --> 00:22:32,467
กูจะได้ทำอะไรจ่อย

725
00:22:32,583 --> 00:22:32,826

726
00:22:32,914 --> 00:22:33,362

727
00:22:33,424 --> 00:22:33,724

728
00:22:34,325 --> 00:22:37,205
ไม่รู้ก็ไม่ดูอ่ะลูกให้ดู

729
00:22:37,653 --> 00:22:37,868

730
00:22:37,776 --> 00:22:41,535
ให้ทำแบบฝึกหัดทั้ง 5 ข้อนี้นะคะลงในสมุด

731
00:22:43,293 --> 00:22:48,182
เดี๋ยวขอเวลาหน่อยนะคะจากนั้นเดี๋ยวกูจะให้ลูกออกมาทำหน้ากระดาน

732
00:22:48,413 --> 00:22:51,095
เพื่อรีเช็คว่าลูกเข้าใจจริงหรือเปล่า

733
00:22:51,362 --> 00:22:51,631

734
00:22:52,061 --> 00:22:53,208
เคไหม

735
00:22:53,662 --> 00:22:54,996
โอเคนะคะ

736
00:22:55,073 --> 00:22:56,205
ว่าไหม

737
00:22:56,672 --> 00:22:56,906

738
00:22:56,993 --> 00:22:59,113
ทำในสมุดใช่ค่ะ

739
00:22:59,053 --> 00:23:00,059

740
00:23:00,072 --> 00:23:00,562

741
00:23:00,842 --> 00:23:01,153

742
00:23:01,222 --> 00:23:01,466

743
00:23:01,735 --> 00:23:03,347
รอกอันนี้ก่อน

744
00:23:03,914 --> 00:23:07,711
รอบนี้ลงในสมุดก่อนแล้วก็ทำแบบฝึกหัดคณิตต่อ

745
00:23:08,083 --> 00:23:09,477

746
00:23:09,871 --> 00:23:10,886

747
00:23:10,833 --> 00:23:11,242

748
00:23:11,282 --> 00:23:13,198

749
00:23:13,583 --> 00:23:15,826
โอเคนะคะ

750
00:23:15,833 --> 00:23:16,335

751
00:23:16,602 --> 00:23:17,995
ขอบคุณค่ะ

752
00:23:18,013 --> 00:23:18,297

753
00:23:18,132 --> 00:23:18,641

754
00:23:18,775 --> 00:23:19,012

755
00:23:19,032 --> 00:23:20,687

756
00:23:23,452 --> 00:23:25,675

757
00:23:26,082 --> 00:23:26,349

758
00:23:33,512 --> 00:23:33,799

759
00:23:37,805 --> 00:23:38,073

760
00:23:38,323 --> 00:23:38,717

761
00:23:41,523 --> 00:23:41,727

762
00:23:47,736 --> 00:23:47,992

763
00:24:00,672 --> 00:24:00,905

764
00:24:04,263 --> 00:24:04,481

765
00:24:07,145 --> 00:24:07,421

766
00:24:17,451 --> 00:24:17,715

767
00:24:27,711 --> 00:24:27,995

768
00:24:35,972 --> 00:24:36,230

769
00:24:39,691 --> 00:24:39,893

770
00:24:42,314 --> 00:24:42,567

771
00:24:42,632 --> 00:24:42,908

772
00:24:55,701 --> 00:24:55,946

773
00:24:56,471 --> 00:24:56,679

774
00:24:57,812 --> 00:24:58,067

775
00:24:58,331 --> 00:24:58,628

776
00:25:03,901 --> 00:25:04,149

777
00:25:04,930 --> 00:25:05,179

778
00:25:09,804 --> 00:25:10,070

779
00:25:15,432 --> 00:25:15,690

780
00:25:19,473 --> 00:25:19,749

781
00:25:31,065 --> 00:25:31,344

782
00:25:31,191 --> 00:25:31,439

783
00:25:33,765 --> 00:25:33,980

784
00:25:34,333 --> 00:25:34,587

785
00:25:40,031 --> 00:25:40,314

786
00:25:51,575 --> 00:25:51,792

787
00:25:57,581 --> 00:25:57,847

788
00:26:11,041 --> 00:26:11,289

789
00:26:13,601 --> 00:26:13,843

790
00:26:15,334 --> 00:26:15,622

791
00:26:27,182 --> 00:26:27,432

792
00:26:28,331 --> 00:26:28,617

793
00:26:31,730 --> 00:26:32,155

794
00:26:51,272 --> 00:26:51,539

795
00:26:56,331 --> 00:26:56,544

796
00:27:20,362 --> 00:27:20,642

797
00:27:31,370 --> 00:27:31,645

798
00:27:34,510 --> 00:27:34,795

799
00:27:38,872 --> 00:27:39,121

800
00:27:41,623 --> 00:27:41,848

801
00:27:59,371 --> 00:27:59,660

802
00:28:01,930 --> 00:28:02,205

803
00:28:02,512 --> 00:28:02,737

804
00:28:02,961 --> 00:28:03,160

805
00:28:23,900 --> 00:28:24,161

806
00:28:25,322 --> 00:28:25,756

807
00:28:25,571 --> 00:28:25,822

808
00:28:41,069 --> 00:28:41,311

809
00:28:44,150 --> 00:28:44,419

810
00:29:13,098 --> 00:29:13,297

811
00:29:21,940 --> 00:29:22,182

812
00:29:22,202 --> 00:29:22,661

813
00:29:32,450 --> 00:29:32,930

814
00:29:35,588 --> 00:29:35,852

815
00:29:38,149 --> 00:29:38,575

816
00:29:38,598 --> 00:29:38,842

817
00:29:39,688 --> 00:29:39,970

818
00:29:41,288 --> 00:29:41,493

819
00:29:43,019 --> 00:29:43,230

820
00:29:43,598 --> 00:29:44,076

821
00:29:55,378 --> 00:29:55,755

822
00:30:04,228 --> 00:30:04,686

823
00:30:11,919 --> 00:30:12,188

824
00:30:18,508 --> 00:30:18,947

825
00:30:28,250 --> 00:30:28,700

826
00:30:32,669 --> 00:30:33,117

827
00:30:37,668 --> 00:30:37,935

828
00:30:38,690 --> 00:30:39,161

829
00:30:42,279 --> 00:30:42,764

830
00:31:00,527 --> 00:31:00,750

831
00:31:18,539 --> 00:31:18,824

832
00:31:23,660 --> 00:31:23,883

833
00:31:26,609 --> 00:31:26,868

834
00:31:37,888 --> 00:31:38,368

835
00:31:43,270 --> 00:31:43,511

836
00:31:43,527 --> 00:31:43,959

837
00:31:44,999 --> 00:31:45,494

838
00:31:45,569 --> 00:31:45,805

839
00:31:56,399 --> 00:31:56,823

840
00:32:08,248 --> 00:32:08,688

841
00:32:21,446 --> 00:32:21,718

842
00:32:25,097 --> 00:32:25,536

843
00:32:29,327 --> 00:32:29,606

844
00:32:30,087 --> 00:32:30,324

845
00:32:30,406 --> 00:32:30,676

846
00:32:30,725 --> 00:32:30,965

847
00:32:31,376 --> 00:32:31,856

848
00:32:35,028 --> 00:32:35,324

849
00:32:38,037 --> 00:32:38,295

850
00:32:42,076 --> 00:32:42,483

851
00:32:43,806 --> 00:32:44,261

852
00:32:47,781 --> 00:32:48,189

853
00:32:51,298 --> 00:32:51,532

854
00:32:51,936 --> 00:32:52,212

855
00:32:58,086 --> 00:32:58,339

856
00:33:06,236 --> 00:33:06,656

857
00:33:25,057 --> 00:33:25,454

858
00:33:27,806 --> 00:33:28,041

859
00:33:28,517 --> 00:33:28,836

860
00:33:28,906 --> 00:33:29,328

861
00:33:29,736 --> 00:33:29,974

862
00:33:34,536 --> 00:33:34,793

863
00:33:39,536 --> 00:33:39,829

864
00:33:42,996 --> 00:33:43,280

865
00:33:43,636 --> 00:33:43,846

866
00:33:44,528 --> 00:33:44,740

867
00:33:45,628 --> 00:33:45,859

868
00:33:48,186 --> 00:33:48,597

869
00:34:09,255 --> 00:34:09,687

870
00:34:17,916 --> 00:34:18,296

871
00:34:21,249 --> 00:34:21,706

872
00:34:23,997 --> 00:34:24,277

873
00:34:25,729 --> 00:34:26,157

874
00:34:34,566 --> 00:34:35,015

875
00:34:43,924 --> 00:34:44,157

876
00:34:46,225 --> 00:34:46,435

877
00:34:54,295 --> 00:34:54,507

878
00:34:54,745 --> 00:34:55,228

879
00:34:57,819 --> 00:34:58,037

880
00:35:16,527 --> 00:35:16,858

881
00:35:16,847 --> 00:35:17,114

882
00:35:16,975 --> 00:35:17,210

883
00:35:19,665 --> 00:35:20,070

884
00:35:32,484 --> 00:35:32,716

885
00:35:36,838 --> 00:35:37,302

886
00:35:48,568 --> 00:35:48,816

887
00:35:55,156 --> 00:35:55,411

888
00:35:59,199 --> 00:35:59,665

889
00:36:09,377 --> 00:36:09,749

890
00:36:15,913 --> 00:36:16,138

891
00:36:25,142 --> 00:36:25,361

892
00:36:36,475 --> 00:36:36,723

893
00:36:37,443 --> 00:36:37,652

894
00:36:38,083 --> 00:36:38,379

895
00:36:43,644 --> 00:36:43,918

896
00:36:47,304 --> 00:36:47,585

897
00:36:49,924 --> 00:36:50,210

898
00:36:55,884 --> 00:36:56,099

899
00:36:58,383 --> 00:36:58,662

900
00:37:04,407 --> 00:37:04,656

901
00:37:04,924 --> 00:37:05,129

902
00:37:08,762 --> 00:37:09,029

903
00:37:12,543 --> 00:37:12,926

904
00:37:23,173 --> 00:37:23,450

905
00:37:23,492 --> 00:37:23,730

906
00:37:35,548 --> 00:37:35,767

907
00:37:39,002 --> 00:37:39,438

908
00:38:13,593 --> 00:38:13,817

909
00:38:15,066 --> 00:38:15,291

910
00:38:17,315 --> 00:38:17,523

911
00:38:22,433 --> 00:38:22,658

912
00:38:32,303 --> 00:38:32,774

913
00:38:41,843 --> 00:38:42,059

914
00:38:52,162 --> 00:38:52,397

915
00:38:57,736 --> 00:38:57,982

916
00:38:58,184 --> 00:38:58,472

917
00:39:01,642 --> 00:39:01,841

918
00:39:02,285 --> 00:39:02,716

919
00:39:04,771 --> 00:39:05,036

920
00:39:16,245 --> 00:39:16,514

921
00:39:17,651 --> 00:39:17,905

922
00:39:18,362 --> 00:39:18,635

923
00:39:18,801 --> 00:39:19,079

924
00:39:29,181 --> 00:39:29,421

925
00:39:40,592 --> 00:39:40,843

926
00:39:44,242 --> 00:39:44,636

927
00:39:47,385 --> 00:39:47,661

928
00:39:50,262 --> 00:39:50,693

929
00:40:00,321 --> 00:40:00,573

930
00:40:03,146 --> 00:40:03,374

931
00:40:09,544 --> 00:40:09,809

932
00:40:21,841 --> 00:40:22,053

933
00:40:23,761 --> 00:40:24,030

934
00:40:25,941 --> 00:40:26,166

935
00:40:26,131 --> 00:40:26,351

936
00:40:29,083 --> 00:40:29,289

937
00:40:32,921 --> 00:40:33,329

938
00:40:33,121 --> 00:40:33,411

939
00:40:37,671 --> 00:40:38,128

940
00:40:41,382 --> 00:40:41,622

941
00:40:46,191 --> 00:40:46,478

942
00:40:51,050 --> 00:40:51,436

943
00:40:58,421 --> 00:40:58,642

944
00:41:04,830 --> 00:41:05,262

945
00:41:20,590 --> 00:41:20,840

946
00:41:34,563 --> 00:41:34,837

947
00:41:39,744 --> 00:41:39,985

948
00:41:42,182 --> 00:41:42,402

949
00:41:51,600 --> 00:41:52,040

950
00:42:01,721 --> 00:42:02,000

951
00:42:02,231 --> 00:42:02,454

952
00:42:13,309 --> 00:42:13,590

953
00:42:15,883 --> 00:42:16,115

954
00:42:19,139 --> 00:42:19,416

955
00:42:19,909 --> 00:42:20,336

956
00:42:26,891 --> 00:42:27,174

957
00:42:35,921 --> 00:42:36,335

958
00:42:39,391 --> 00:42:39,818

959
00:42:46,240 --> 00:42:46,462

960
00:42:46,879 --> 00:42:47,138

961
00:42:56,435 --> 00:42:56,920

962
00:43:01,233 --> 00:43:01,445

963
00:43:02,061 --> 00:43:02,337

964
00:43:08,401 --> 00:43:08,818

965
00:43:15,392 --> 00:43:15,865

966
00:43:20,322 --> 00:43:20,568

967
00:43:30,829 --> 00:43:31,101

968
00:43:38,520 --> 00:43:38,786

969
00:44:06,641 --> 00:44:06,919

970
00:44:25,351 --> 00:44:25,630

971
00:44:27,588 --> 00:44:27,984

972
00:44:28,928 --> 00:44:29,231

973
00:44:41,108 --> 00:44:41,322

974
00:44:43,088 --> 00:44:43,379

975
00:44:44,819 --> 00:44:45,070

976
00:44:52,697 --> 00:44:52,914

977
00:44:56,599 --> 00:44:56,856

978
00:45:02,117 --> 00:45:02,384

979
00:45:10,508 --> 00:45:10,737

980
00:45:11,078 --> 00:45:11,356

981
00:45:14,738 --> 00:45:15,036

982
00:45:20,437 --> 00:45:20,734

983
00:45:26,838 --> 00:45:27,120

984
00:45:28,958 --> 00:45:29,185

985
00:45:29,079 --> 00:45:29,510

986
00:45:38,437 --> 00:45:38,721

987
00:45:39,597 --> 00:45:39,856

988
00:45:41,961 --> 00:45:42,381

989
00:45:48,817 --> 00:45:49,033

990
00:45:52,397 --> 00:45:52,825

991
00:45:55,677 --> 00:45:55,902

992
00:45:57,527 --> 00:45:57,756

993
00:46:01,689 --> 00:46:01,946

994
00:46:04,707 --> 00:46:04,970

995
00:46:05,277 --> 00:46:05,682

996
00:46:36,677 --> 00:46:36,958

997
00:46:36,997 --> 00:46:37,220

998
00:46:38,277 --> 00:46:38,558

999
00:46:38,918 --> 00:46:39,189

1000
00:46:49,927 --> 00:46:50,378

1001
00:46:55,702 --> 00:46:55,991

1002
00:47:01,468 --> 00:47:01,703

1003
00:47:02,806 --> 00:47:03,026

1004
00:47:03,956 --> 00:47:04,339

1005
00:47:06,399 --> 00:47:06,681

1006
00:47:07,680 --> 00:47:07,931

1007
00:47:22,797 --> 00:47:23,157

1008
00:47:28,439 --> 00:47:28,662

1009
00:47:32,396 --> 00:47:32,667

1010
00:47:48,607 --> 00:47:49,016

1011
00:47:49,317 --> 00:47:49,553

1012
00:47:59,381 --> 00:47:59,627

1013
00:48:03,028 --> 00:48:03,455

1014
00:48:03,347 --> 00:48:03,771

1015
00:48:03,986 --> 00:48:04,263

1016
00:48:04,235 --> 00:48:04,635

1017
00:48:12,317 --> 00:48:12,582

1018
00:48:12,696 --> 00:48:13,128

1019
00:48:15,076 --> 00:48:15,353

1020
00:48:23,467 --> 00:48:23,694

1021
00:48:23,655 --> 00:48:23,880

1022
00:48:29,096 --> 00:48:29,530

1023
00:48:38,125 --> 00:48:38,378

1024
00:48:39,155 --> 00:48:39,396

1025
00:48:46,519 --> 00:48:46,795

1026
00:48:51,137 --> 00:48:51,407

1027
00:48:58,636 --> 00:48:58,887

1028
00:48:58,826 --> 00:48:59,040

1029
00:48:59,015 --> 00:48:59,299

1030
00:49:01,894 --> 00:49:02,102

1031
00:49:06,639 --> 00:49:06,847

1032
00:49:18,940 --> 00:49:19,228

1033
00:49:22,017 --> 00:49:22,318

1034
00:49:22,596 --> 00:49:22,874

1035
00:49:25,086 --> 00:49:25,320

1036
00:49:25,600 --> 00:49:25,984

1037
00:49:25,854 --> 00:49:26,252

1038
00:49:27,198 --> 00:49:27,463

1039
00:49:33,926 --> 00:49:34,201

1040
00:49:35,277 --> 00:49:35,548

1041
00:49:53,089 --> 00:49:53,563

1042
00:49:53,344 --> 00:49:53,552

1043
00:49:53,857 --> 00:49:54,110

1044
00:49:54,115 --> 00:49:54,490

1045
00:49:54,625 --> 00:49:55,037

1046
00:49:55,139 --> 00:49:55,425

1047
00:50:03,205 --> 00:50:03,629

1048
00:50:04,674 --> 00:50:04,914

1049
00:50:29,405 --> 00:50:29,690

1050
00:50:34,533 --> 00:50:34,804

1051
00:50:41,390 --> 00:50:41,604

1052
00:50:43,825 --> 00:50:44,057

1053
00:50:55,354 --> 00:50:55,566

1054
00:50:56,504 --> 00:50:56,918

1055
00:50:59,074 --> 00:50:59,354

1056
00:50:59,835 --> 00:51:00,087

1057
00:51:00,867 --> 00:51:01,144

1058
00:51:01,374 --> 00:51:01,642

1059
00:51:08,484 --> 00:51:08,914

1060
00:51:09,953 --> 00:51:10,223

1061
00:51:11,175 --> 00:51:11,415

1062
00:51:12,966 --> 00:51:13,248

1063
00:51:16,753 --> 00:51:17,041

1064
00:51:16,877 --> 00:51:17,123

1065
00:51:17,644 --> 00:51:17,880

1066
00:51:21,295 --> 00:51:21,514

1067
00:51:26,806 --> 00:51:27,042

1068
00:51:27,513 --> 00:51:27,791

1069
00:51:28,275 --> 00:51:28,545

1070
00:51:34,945 --> 00:51:35,227

1071
00:51:38,524 --> 00:51:38,768

1072
00:51:53,645 --> 00:51:53,921

1073
00:51:56,273 --> 00:51:56,658

1074
00:51:59,097 --> 00:51:59,346

1075
00:52:08,314 --> 00:52:08,595

1076
00:52:14,083 --> 00:52:14,298

1077
00:52:30,423 --> 00:52:30,703

1078
00:52:39,003 --> 00:52:39,264

1079
00:52:39,192 --> 00:52:39,466

1080
00:52:41,115 --> 00:52:41,315

1081
00:52:41,751 --> 00:52:42,197

1082
00:52:42,783 --> 00:52:43,007

1083
00:52:53,033 --> 00:52:53,249

1084
00:52:54,578 --> 00:52:54,844

1085
00:52:55,024 --> 00:52:55,282

1086
00:52:55,912 --> 00:52:56,169

1087
00:52:56,494 --> 00:52:56,771

1088
00:52:56,875 --> 00:52:57,138

1089
00:52:58,477 --> 00:52:58,696

1090
00:53:00,783 --> 00:53:01,157

1091
00:53:05,462 --> 00:53:05,709

1092
00:53:06,613 --> 00:53:06,885

1093
00:53:12,835 --> 00:53:13,258

1094
00:53:15,588 --> 00:53:15,829

1095
00:53:16,036 --> 00:53:16,315

1096
00:53:16,353 --> 00:53:16,592

1097
00:53:43,131 --> 00:53:43,393

1098
00:54:11,065 --> 00:54:11,305

1099
00:54:23,621 --> 00:54:23,888

1100
00:54:24,583 --> 00:54:24,837

1101
00:54:28,163 --> 00:54:28,415

1102
00:54:33,423 --> 00:54:33,716

1103
00:54:37,962 --> 00:54:38,233

1104
00:54:38,227 --> 00:54:38,499

1105
00:54:45,332 --> 00:54:45,777

1106
00:54:58,722 --> 00:54:58,960

1107
00:55:02,183 --> 00:55:02,479

1108
00:55:02,433 --> 00:55:02,678

1109
00:55:15,062 --> 00:55:15,316

1110
00:55:19,993 --> 00:55:20,428

1111
00:55:24,032 --> 00:55:24,298

1112
00:55:24,992 --> 00:55:25,446

1113
00:55:40,811 --> 00:55:41,076

1114
00:55:42,410 --> 00:55:42,686

1115
00:55:45,034 --> 00:55:45,422

1116
00:56:18,291 --> 00:56:18,547

1117
00:56:18,611 --> 00:56:18,879

1118
00:56:22,510 --> 00:56:22,778

1119
00:56:23,090 --> 00:56:23,295

1120
00:56:24,180 --> 00:56:24,620

1121
00:56:30,971 --> 00:56:31,172

1122
00:56:32,384 --> 00:56:32,651

1123
00:56:34,689 --> 00:56:35,075

1124
00:56:34,884 --> 00:56:35,159

1125
00:56:35,201 --> 00:56:35,480

1126
00:56:38,533 --> 00:56:38,751

1127
00:56:38,851 --> 00:56:39,099

1128
00:56:39,300 --> 00:56:39,556

1129
00:56:44,363 --> 00:56:44,581

1130
00:56:51,412 --> 00:56:51,667

1131
00:56:51,599 --> 00:56:51,833

1132
00:56:58,261 --> 00:56:58,682

1133
00:57:01,722 --> 00:57:01,972

1134
00:57:10,504 --> 00:57:10,960

1135
00:57:12,870 --> 00:57:13,254

1136
00:57:13,121 --> 00:57:13,346

1137
00:57:18,189 --> 00:57:18,400

1138
00:57:19,340 --> 00:57:19,593

1139
00:57:20,621 --> 00:57:20,834

1140
00:57:21,321 --> 00:57:21,609

1141
00:57:21,833 --> 00:57:22,067

1142
00:57:34,462 --> 00:57:34,900

1143
00:57:44,450 --> 00:57:44,742

1144
00:57:47,650 --> 00:57:47,853

1145
00:57:58,480 --> 00:57:58,719

1146
00:57:59,060 --> 00:57:59,291

1147
00:58:11,034 --> 00:58:11,479

1148
00:58:11,233 --> 00:58:11,491

1149
00:58:17,060 --> 00:58:17,428

1150
00:58:35,249 --> 00:58:35,723

1151
00:58:49,859 --> 00:58:50,138

1152
00:58:51,521 --> 00:58:51,775

1153
00:59:13,949 --> 00:59:14,522

1154
00:59:14,389 --> 00:59:14,803

1155
00:59:16,830 --> 00:59:17,111

1156
00:59:19,329 --> 00:59:19,645

1157
00:59:21,828 --> 00:59:22,118

1158
00:59:24,508 --> 00:59:25,185

1159
00:59:26,828 --> 00:59:27,056

1160
00:59:26,948 --> 00:59:27,235

1161
00:59:29,190 --> 00:59:29,519

1162
00:59:47,900 --> 00:59:48,125

1163
00:59:53,600 --> 00:59:53,838

1164
01:00:09,167 --> 01:00:09,454

1165
01:00:11,091 --> 01:00:11,523

1166
01:00:22,939 --> 01:00:23,198

1167
01:00:33,769 --> 01:00:34,216

1168
01:00:35,432 --> 01:00:35,657

1169
01:00:39,981 --> 01:00:40,268

1170
01:00:40,358 --> 01:00:40,630

1171
01:00:42,287 --> 01:00:42,525

1172
01:00:49,980 --> 01:00:50,253

1173
01:00:53,366 --> 01:00:53,576

1174
01:00:59,329 --> 01:00:59,694

1175
01:01:04,320 --> 01:01:04,699

1176
01:01:05,288 --> 01:01:05,703

1177
01:01:10,598 --> 01:01:10,846

1178
01:01:15,152 --> 01:01:15,417

1179
01:01:29,630 --> 01:01:29,995

1180
01:01:33,281 --> 01:01:33,505

1181
01:01:36,667 --> 01:01:36,905

1182
01:01:42,511 --> 01:01:42,979

1183
01:01:43,147 --> 01:01:43,616

1184
01:01:44,996 --> 01:01:45,268

1185
01:01:56,277 --> 01:01:56,514

1186
01:01:58,777 --> 01:01:59,054

1187
01:02:02,037 --> 01:02:02,251

1188
01:02:05,247 --> 01:02:05,509

1189
01:02:13,506 --> 01:02:13,771

1190
01:02:23,887 --> 01:02:24,096

1191
01:02:24,909 --> 01:02:25,316

1192
01:02:39,841 --> 01:02:40,117

1193
01:02:44,648 --> 01:02:44,905

1194
01:02:49,257 --> 01:02:49,683

1195
01:02:54,256 --> 01:02:54,538

1196
01:02:59,625 --> 01:02:59,862

1197
01:03:02,586 --> 01:03:02,872

1198
01:03:03,606 --> 01:03:03,855

1199
01:03:05,147 --> 01:03:05,364

1200
01:03:06,805 --> 01:03:07,036

1201
01:03:08,606 --> 01:03:08,899

1202
01:03:09,830 --> 01:03:10,258

1203
01:03:21,797 --> 01:03:22,038

1204
01:03:22,246 --> 01:03:22,528

1205
01:03:22,507 --> 01:03:22,776

1206
01:03:24,428 --> 01:03:24,710

1207
01:03:29,105 --> 01:03:29,589

1208
01:03:31,345 --> 01:03:31,628

1209
01:03:34,867 --> 01:03:35,151

1210
01:03:36,220 --> 01:03:36,502

1211
01:03:41,596 --> 01:03:41,981

1212
01:03:42,176 --> 01:03:42,391

1213
01:03:42,305 --> 01:03:42,585

1214
01:04:00,046 --> 01:04:00,298

1215
01:04:07,097 --> 01:04:07,355

1216
01:04:09,908 --> 01:04:10,183

1217
01:04:13,626 --> 01:04:13,888

1218
01:04:17,344 --> 01:04:17,809

1219
01:04:18,306 --> 01:04:18,559

1220
01:04:18,555 --> 01:04:18,815

1221
01:04:19,965 --> 01:04:20,204

1222
01:04:21,055 --> 01:04:21,266

1223
01:04:27,336 --> 01:04:27,546

1224
01:04:28,226 --> 01:04:28,510

1225
01:04:36,235 --> 01:04:36,519

1226
01:04:36,625 --> 01:04:36,858

1227
01:04:37,268 --> 01:04:37,539

1228
01:04:37,904 --> 01:04:38,170

1229
01:04:39,573 --> 01:04:39,800

1230
01:04:55,975 --> 01:04:56,242

1231
01:04:57,575 --> 01:04:57,800

1232
01:04:59,814 --> 01:05:00,251

1233
01:05:01,545 --> 01:05:01,810

1234
01:05:09,744 --> 01:05:09,987

1235
01:05:37,035 --> 01:05:37,314

1236
01:05:37,805 --> 01:05:38,084

1237
01:05:41,834 --> 01:05:42,044

1238
01:05:51,957 --> 01:05:52,175

1239
01:06:03,493 --> 01:06:03,704

1240
01:06:08,624 --> 01:06:08,827

1241
01:06:24,183 --> 01:06:24,400

1242
01:06:51,667 --> 01:06:51,911

1243
01:06:55,894 --> 01:06:56,144

1244
01:06:58,073 --> 01:06:58,317

1245
01:07:03,647 --> 01:07:03,924

1246
01:07:07,946 --> 01:07:08,185

1247
01:07:27,414 --> 01:07:27,643

1248
01:07:28,623 --> 01:07:28,903

1249
01:07:43,816 --> 01:07:44,108

1250
01:07:47,784 --> 01:07:48,073

1251
01:07:48,042 --> 01:07:48,320

1252
01:07:48,685 --> 01:07:48,918

1253
01:07:49,065 --> 01:07:49,332

1254
01:07:52,146 --> 01:07:52,460

1255
01:08:16,034 --> 01:08:16,312

1256
01:08:25,904 --> 01:08:26,182

1257
01:08:29,553 --> 01:08:29,791

1258
01:08:35,953 --> 01:08:36,171

1259
01:08:37,433 --> 01:08:37,852

1260
01:08:48,132 --> 01:08:48,416

1261
01:08:49,731 --> 01:08:50,333

1262
01:08:50,431 --> 01:08:50,685

1263
01:08:53,644 --> 01:08:53,915

1264
01:09:08,563 --> 01:09:08,774

1265
01:09:11,385 --> 01:09:11,650

1266
01:09:23,102 --> 01:09:23,397

1267
01:09:41,100 --> 01:09:41,327

1268
01:09:41,822 --> 01:09:42,105

1269
01:09:47,261 --> 01:09:47,490

1270
01:09:51,423 --> 01:09:51,629

1271
01:10:09,041 --> 01:10:09,305

1272
01:10:12,183 --> 01:10:12,449

1273
01:10:12,301 --> 01:10:12,534

1274
01:10:19,031 --> 01:10:19,301

1275
01:10:22,300 --> 01:10:22,584

1276
01:10:33,324 --> 01:10:33,589

1277
01:10:35,880 --> 01:10:36,364

1278
01:10:50,741 --> 01:10:50,997

1279
01:10:53,241 --> 01:10:53,470

1280
01:10:57,922 --> 01:10:58,153

1281
01:11:05,032 --> 01:11:05,282

1282
01:11:05,541 --> 01:11:05,979

1283
01:11:20,473 --> 01:11:20,694

1284
01:11:26,361 --> 01:11:26,635

1285
01:11:27,322 --> 01:11:27,599

1286
01:11:42,060 --> 01:11:42,292

1287
01:11:46,990 --> 01:11:47,227

1288
01:11:51,091 --> 01:11:51,313

1289
01:11:58,069 --> 01:11:58,337

1290
01:12:00,500 --> 01:12:00,785

1291
01:12:02,243 --> 01:12:02,493

1292
01:12:02,945 --> 01:12:03,149

1293
01:12:07,875 --> 01:12:08,148

1294
01:12:18,904 --> 01:12:19,189

1295
01:12:27,031 --> 01:12:27,293

1296
01:12:30,489 --> 01:12:30,719

1297
01:12:42,982 --> 01:12:43,193

1298
01:12:45,799 --> 01:12:46,027

1299
01:13:10,403 --> 01:13:10,695

1300
01:13:10,659 --> 01:13:10,962

1301
01:13:25,781 --> 01:13:26,053

1302
01:13:28,589 --> 01:13:28,884

1303
01:13:35,638 --> 01:13:35,860

1304
01:13:37,943 --> 01:13:38,198

1305
01:13:39,291 --> 01:13:39,537

1306
01:13:43,579 --> 01:13:43,804

1307
01:13:49,609 --> 01:13:49,879

1308
01:14:08,183 --> 01:14:08,588

1309
01:14:09,783 --> 01:14:10,024

1310
01:14:17,221 --> 01:14:17,508

1311
01:14:21,582 --> 01:14:21,797

1312
01:14:28,692 --> 01:14:29,124

1313
01:14:31,062 --> 01:14:31,479

1314
01:14:34,770 --> 01:14:34,974

1315
01:14:49,759 --> 01:14:50,010

1316
01:14:54,252 --> 01:14:54,461

1317
01:15:00,389 --> 01:15:00,706

1318
01:15:01,288 --> 01:15:01,567

1319
01:15:04,431 --> 01:15:04,670

1320
01:15:09,619 --> 01:15:09,860

1321
01:15:17,818 --> 01:15:18,124

1322
01:15:23,392 --> 01:15:23,617

1323
01:15:23,648 --> 01:15:23,878

1324
01:15:25,818 --> 01:15:26,031

1325
01:15:35,378 --> 01:15:35,653

1326
01:15:41,141 --> 01:15:41,352

1327
01:15:42,741 --> 01:15:42,991

1328
01:15:49,269 --> 01:15:49,476

1329
01:16:01,063 --> 01:16:01,331

1330
01:16:09,010 --> 01:16:09,283

1331
01:16:11,248 --> 01:16:11,465

1332
01:16:31,753 --> 01:16:31,987

1333
01:16:32,069 --> 01:16:32,288

1334
01:16:32,900 --> 01:16:33,181

1335
01:16:33,351 --> 01:16:33,780

1336
01:16:45,261 --> 01:16:45,474

1337
01:16:57,699 --> 01:16:57,966

1338
01:16:58,341 --> 01:16:58,563

1339
01:17:01,467 --> 01:17:01,693

1340
01:17:07,296 --> 01:17:07,581

1341
01:17:15,571 --> 01:17:15,780

1342
01:17:24,019 --> 01:17:24,290

1343
01:17:29,787 --> 01:17:30,068

1344
01:17:40,417 --> 01:17:40,811

1345
01:17:41,767 --> 01:17:42,224

1346
01:17:42,408 --> 01:17:42,863

1347
01:17:44,259 --> 01:17:44,533

1348
01:17:49,328 --> 01:17:49,576

1349
01:17:49,458 --> 01:17:49,679

1350
01:17:55,477 --> 01:17:55,759

1351
01:17:59,320 --> 01:17:59,596

1352
01:18:05,920 --> 01:18:06,143

1353
01:18:07,200 --> 01:18:07,479

1354
01:18:08,221 --> 01:18:08,426

1355
01:18:08,606 --> 01:18:08,882

1356
01:18:09,499 --> 01:18:09,883

1357
01:18:10,789 --> 01:18:11,241

1358
01:18:11,425 --> 01:18:11,635

1359
01:18:11,817 --> 01:18:12,100

1360
01:18:13,537 --> 01:18:13,770

1361
01:18:15,848 --> 01:18:16,135

1362
01:18:16,168 --> 01:18:16,379

1363
01:18:19,181 --> 01:18:19,438

1364
01:18:19,629 --> 01:18:19,913

1365
01:18:27,697 --> 01:18:28,151

1366
01:18:35,067 --> 01:18:35,295

1367
01:18:38,266 --> 01:18:38,512

1368
01:18:45,959 --> 01:18:46,402

1369
01:18:57,300 --> 01:18:57,706

1370
01:19:02,099 --> 01:19:02,318

1371
01:19:18,180 --> 01:19:18,449

1372
01:19:20,358 --> 01:19:20,775

1373
01:19:24,659 --> 01:19:24,875

1374
01:19:32,215 --> 01:19:32,644

1375
01:19:34,516 --> 01:19:34,736

1376
01:19:38,226 --> 01:19:38,469

1377
01:19:38,616 --> 01:19:38,899

1378
01:19:58,098 --> 01:19:58,332

1379
01:19:58,478 --> 01:19:58,687

1380
01:20:02,898 --> 01:20:03,118

1381
01:20:07,184 --> 01:20:07,448

1382
01:20:10,009 --> 01:20:10,294

1383
01:20:17,564 --> 01:20:17,805

1384
01:20:21,988 --> 01:20:22,220

1385
01:20:31,144 --> 01:20:31,395

1386
01:20:32,617 --> 01:20:32,863

1387
01:20:33,387 --> 01:20:33,626

1388
01:20:37,685 --> 01:20:37,926

1389
01:20:38,326 --> 01:20:38,742

1390
01:20:46,268 --> 01:20:46,498

1391
01:20:46,527 --> 01:20:46,742

1392
01:20:59,526 --> 01:20:59,793

1393
01:21:06,255 --> 01:21:06,538

1394
01:21:23,354 --> 01:21:23,651

1395
01:21:26,104 --> 01:21:26,354

1396
01:21:27,973 --> 01:21:28,220

1397
01:21:35,279 --> 01:21:35,506

1398
01:21:42,447 --> 01:21:42,710

1399
01:21:43,346 --> 01:21:43,568

1400
01:21:43,533 --> 01:21:43,789

1401
01:21:50,063 --> 01:21:50,283

1402
01:21:50,325 --> 01:21:50,541

1403
01:21:53,914 --> 01:21:54,205

1404
01:21:57,174 --> 01:21:57,431

1405
01:22:01,536 --> 01:22:01,747

1406
01:22:02,755 --> 01:22:03,002

1407
01:22:06,085 --> 01:22:06,527

1408
01:22:08,457 --> 01:22:08,715

1409
01:22:24,926 --> 01:22:25,141

1410
01:22:25,177 --> 01:22:25,397

1411
01:22:25,303 --> 01:22:25,575

1412
01:22:25,696 --> 01:22:26,102

1413
01:22:28,504 --> 01:22:28,750

1414
01:22:30,103 --> 01:22:30,393

1415
01:22:43,562 --> 01:22:43,809

1416
01:22:44,075 --> 01:22:44,329

1417
01:22:55,794 --> 01:22:56,015

1418
01:23:01,885 --> 01:23:02,165

1419
01:23:06,753 --> 01:23:06,973

1420
01:23:10,974 --> 01:23:11,193

1421
01:23:11,684 --> 01:23:11,932

1422
01:23:13,214 --> 01:23:13,498

1423
01:23:13,802 --> 01:23:14,076

1424
01:23:18,533 --> 01:23:18,815

1425
01:23:18,852 --> 01:23:19,109

1426
01:23:29,043 --> 01:23:29,287

1427
01:23:32,183 --> 01:23:32,403

1428
01:23:32,824 --> 01:23:33,049

1429
01:23:33,461 --> 01:23:33,737

1430
01:23:34,042 --> 01:23:34,256

1431
01:23:34,493 --> 01:23:34,711

1432
01:23:38,536 --> 01:23:38,783

1433
01:23:42,491 --> 01:23:42,765

1434
01:23:43,454 --> 01:23:43,692

1435
01:23:45,823 --> 01:23:49,985
ฮัลโหลโอเคนะคะ

1436
01:23:50,053 --> 01:23:52,939
ตอนนี้ลูกๆทำแบบ

1437
01:23:52,934 --> 01:23:53,205

1438
01:23:53,253 --> 01:23:58,823
แบบฝึกนะคะทั้ง 5 ข้อมีหลายคนทำเสร็จแล้วนะคะ

1439
01:23:58,833 --> 01:23:59,207

1440
01:23:59,021 --> 01:24:00,165
หลายคนยัง

1441
01:24:00,243 --> 01:24:00,552

1442
01:24:00,695 --> 01:24:01,961
ยังไม่เสร็จนะ

1443
01:24:02,093 --> 01:24:06,278
ประมาณข้อนึงนะคะเท่าที่คุณเจนเดินดูนะคะ

1444
01:24:06,132 --> 01:24:07,023
ลูกๆ

1445
01:24:07,802 --> 01:24:08,033

1446
01:24:08,762 --> 01:24:09,046

1447
01:24:09,143 --> 01:24:11,695
ส่วนใหญ่ก็คือเข้าใจวิธีทำ

1448
01:24:12,481 --> 01:24:16,264
และก็มีบางคนที่บวกเลขถูก

1449
01:24:16,574 --> 01:24:21,942
ถูกต้องแม่นยำแต่ก็มีหลายๆคนนะพี่วีทำถูกนะ

1450
01:24:21,704 --> 01:24:22,986
การบวกเลขอ่ะลูก

1451
01:24:22,922 --> 01:24:23,702

1452
01:24:23,622 --> 01:24:23,891

1453
01:24:23,941 --> 01:24:24,198

1454
01:24:24,137 --> 01:24:25,810
ต้องไปซ้อมมากกว่านี้

1455
01:24:25,804 --> 01:24:26,013

1456
01:24:26,122 --> 01:24:27,960
ตารางการบวกเลขนะคะ

1457
01:24:28,172 --> 01:24:28,398

1458
01:24:28,816 --> 01:24:34,167
ตอนนี้เพื่อนๆเรากำลังทำแบบฝึกหน้ากระดานนะคะซึ่ง

1459
01:24:37,215 --> 01:24:42,220
ทำได้ถูกต้องด้วยนะบวกเลขให้ถูกด้วยนะคะชื่นชมนะปรบมือให้เพื่อนหน่อย

1460
01:24:42,072 --> 01:24:43,558
ประเมินหน่อยค่ะ

1461
01:24:43,683 --> 01:24:43,932

1462
01:24:43,870 --> 01:24:48,701
ทำถูกต้องนะเดี๋ยวตรวจคำตอบนิดนึง

1463
01:24:49,693 --> 01:24:49,925

1464
01:24:50,976 --> 01:24:51,287

1465
01:24:51,814 --> 01:24:52,089

1466
01:24:52,845 --> 01:24:53,395

1467
01:24:53,411 --> 01:24:53,778

1468
01:24:54,124 --> 01:24:54,409

1469
01:24:54,311 --> 01:24:55,006

1470
01:24:56,043 --> 01:24:58,783
ถูกไหมคะ

1471
01:25:01,743 --> 01:25:02,060

1472
01:25:02,131 --> 01:25:02,392

1473
01:25:02,251 --> 01:25:02,594

1474
01:25:03,280 --> 01:25:04,672

1475
01:25:04,623 --> 01:25:05,190

1476
01:25:05,202 --> 01:25:05,408

1477
01:25:05,772 --> 01:25:05,979

1478
01:25:06,090 --> 01:25:06,303

1479
01:25:06,355 --> 01:25:06,660

1480
01:25:06,611 --> 01:25:06,927

1481
01:25:07,254 --> 01:25:07,680

1482
01:25:10,585 --> 01:25:10,873

1483
01:25:10,903 --> 01:25:11,163

1484
01:25:11,738 --> 01:25:12,293

1485
01:25:15,641 --> 01:25:15,958

1486
01:25:18,141 --> 01:25:18,372

1487
01:25:20,192 --> 01:25:20,618

1488
01:25:20,772 --> 01:25:21,059

1489
01:25:22,434 --> 01:25:22,712

1490
01:25:22,621 --> 01:25:22,861

1491
01:25:23,014 --> 01:25:23,400

1492
01:25:24,091 --> 01:25:24,558

1493
01:25:28,334 --> 01:25:34,535
โอเคนะคะวันนี้นะคะลูกๆ 5/1

1494
01:25:35,251 --> 01:25:38,868
อย่าทำเก่งมากนะส่วนใหญ่คือวิธีทำเข้าใจ

1495
01:25:38,700 --> 01:25:39,208

1496
01:25:39,280 --> 01:25:43,710
เข้าใจว่าการหาอนุกรมก็คือการหาผลบวกของ

1497
01:25:43,642 --> 01:25:43,922

1498
01:25:43,893 --> 01:25:44,470

1499
01:25:44,479 --> 01:25:44,746

1500
01:25:44,850 --> 01:25:45,165

1501
01:25:45,111 --> 01:25:48,555
ก่อนอื่นเราต้องหาลำดับแต่ระดับให้ได้ก่อนถูกไหมคะ

1502
01:25:48,821 --> 01:25:49,530

1503
01:25:49,472 --> 01:25:52,734
a n แต่ละตัวออกมาให้ได้ก่อน

1504
01:25:52,731 --> 01:25:55,240
โจทย์ข้อนี้ 3 n + 1

1505
01:25:55,872 --> 01:25:56,140

1506
01:25:56,004 --> 01:26:00,376
เขาไปหา F5 ลูกๆเข้าใจค่ะว่าลูกๆต้องหา

1507
01:26:00,290 --> 01:26:01,110

1508
01:26:02,286 --> 01:26:06,703
ทั้ง 5 ก่อนคือ A1 A2 A3 A4 A5 ให้ได้ก่อน

1509
01:26:06,702 --> 01:26:08,295
จากนั้นค่อยนำ

1510
01:26:08,240 --> 01:26:08,506

1511
01:26:08,690 --> 01:26:12,658
A1 A2 A3 A4 A5 + กัน

1512
01:26:13,233 --> 01:26:15,211
แล้วเราถึงจะได้คำตอบ

1513
01:26:15,290 --> 01:26:17,715
ของการกดเงินออกมา

1514
01:26:18,101 --> 01:26:18,384

1515
01:26:18,419 --> 01:26:22,013
ณตอนนี้ลูกๆส่วนใหญ่คือเอาใจ

1516
01:26:21,942 --> 01:26:26,053
แต่ก็มีหลายคนนะคะที่ยังบวกเลขไม่ไม่ถูกไม่คล่อง

1517
01:26:25,979 --> 01:26:28,561
พรุ่งนี้คุณเจนฝากให้ไปฝึกนะคะ

1518
01:26:28,479 --> 01:26:28,789

1519
01:26:28,798 --> 01:26:30,124
ฝึกการบวกเลข

1520
01:26:30,079 --> 01:26:30,307

1521
01:26:30,341 --> 01:26:31,233
มาขึ้น

1522
01:26:31,300 --> 01:26:31,524

1523
01:26:31,623 --> 01:26:31,862

1524
01:26:32,011 --> 01:26:35,531
หรือบางคนที่ยังเขียนไม่ทัน

1525
01:26:36,423 --> 01:26:36,680

1526
01:26:36,679 --> 01:26:39,240
สายตาไม่ค่อยดีก็มานั่งใกล้ๆนะลูกนะ

1527
01:26:40,530 --> 01:26:43,191
บวกเลขไม่บวกเลขไม่คล่องให้ไปฝึก

1528
01:26:43,091 --> 01:26:43,297

1529
01:26:43,341 --> 01:26:46,501
ดูแม่สูตรคูณดูการบวกเลข

1530
01:26:46,540 --> 01:26:46,924

1531
01:26:46,808 --> 01:26:48,761
อันนี้เลขแค่หลักเดียวนะลูกนะ

1532
01:26:48,660 --> 01:26:48,953

1533
01:26:49,171 --> 01:26:49,420

1534
01:26:49,491 --> 01:26:49,789

1535
01:26:49,690 --> 01:26:50,251

1536
01:26:50,260 --> 01:26:53,808
เลขหลักเดียวเลข 2 หลักคือเราต้องไปซ้อมเยอะๆนะคะ

1537
01:26:53,721 --> 01:26:54,990

1538
01:26:55,332 --> 01:26:55,684

1539
01:26:56,221 --> 01:26:56,521

1540
01:26:56,610 --> 01:27:00,089
มาถึงตรงนี้มีใครสงสัยอยากจะถามอะไรคุณเจนไหมคะ

1541
01:27:00,320 --> 01:27:03,376
ยังมีข้อสงสัยอะไรไหมเกี่ยวการหาอนุกรมตรงนี้

1542
01:27:03,783 --> 01:27:07,641
ไม่มีเนาะเขาใจดีมากลูก

1543
01:27:07,620 --> 01:27:10,753
นี่ไม่เข้าใจมึงไม่ถามมึงไม่ทำ

1544
01:27:10,693 --> 01:27:13,136
ไม่ได้นะคะลูกนะ

1545
01:27:13,391 --> 01:27:16,866
เป็นนักเรียนหน้าที่เราเคยเรียนหนังสือนะลูกนะก็ต้องตั้งใจเรียน

1546
01:27:17,040 --> 01:27:18,621
วันนี้

1547
01:27:18,641 --> 01:27:22,749
วันนี้คุณเจนก็ฝากสำหรับเรื่องของการหาอนุกรมนะคะ

1548
01:27:22,932 --> 01:27:24,850
จากการรีเช็คแล้ว

1549
01:27:25,049 --> 01:27:25,932
1

1550
01:27:26,071 --> 01:27:27,406
ไหนค้นหา

1551
01:27:27,350 --> 01:27:28,664
อนุกรมได้นะ

1552
01:27:29,277 --> 01:27:31,406
อนุกรมได้เข้าใจ

1553
01:27:31,390 --> 01:27:31,628

1554
01:27:31,971 --> 01:27:32,612

1555
01:27:32,609 --> 01:27:33,126

1556
01:27:33,050 --> 01:27:36,457
2 ลูกๆหาผลบวกของพจน์ที่ n ได้

1557
01:27:37,409 --> 01:27:37,678

1558
01:27:37,608 --> 01:27:40,943
ส่วนใหญ่คือหาได้เนาะ 80%

1559
01:27:41,382 --> 01:27:41,614

1560
01:27:42,151 --> 01:27:42,527

1561
01:27:42,470 --> 01:27:46,142
สวัสดี 20% ก็ไปซ้อมเพิ่มนะคะฝึกซ้อมเพิ่มเติม

1562
01:27:45,869 --> 01:27:48,322
กลับวันนี้นะคะ

1563
01:27:48,619 --> 01:27:48,916

1564
01:27:48,881 --> 01:27:50,731
ก็หมดเวลาแล้วเนาะ

1565
01:27:51,051 --> 01:27:53,759
หมดเวลาแล้วนะคะลูกๆ

1566
01:27:53,811 --> 01:27:57,775
ทำความเคารพพิราบหน่อยค่ะลูกขอบคุณพิราบหน่อย

1567
01:27:57,718 --> 01:28:00,459

1568
01:28:00,543 --> 01:28:02,374

1569
01:28:03,550 --> 01:28:07,306
ลูกค้าลูกแล้วลูกค้าลูกค้าค่ะ

1570
01:28:07,259 --> 01:28:08,352

1571
01:28:08,810 --> 01:28:09,430

1572
01:28:10,020 --> 01:28:10,250

1573
01:28:10,409 --> 01:28:11,353

1574
01:28:11,299 --> 01:28:11,937

1575
01:28:11,946 --> 01:28:12,154

1576
01:28:12,072 --> 01:28:12,329

1577
01:28:12,200 --> 01:28:14,957
ขอบคุณที่รับนะคะขอบคุณค่ะ

1578
01:28:17,577 --> 01:28:17,806

1579
01:28:17,770 --> 01:28:19,413

1580
01:28:19,372 --> 01:28:19,637

1581
01:28:26,171 --> 01:28:26,405

1582
01:28:27,959 --> 01:28:28,212

1583
01:28:30,451 --> 01:28:30,737

1584
01:28:30,838 --> 01:28:31,139

1585
01:28:41,411 --> 01:28:41,708

1586
01:28:58,899 --> 01:28:59,326


