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Prompt Eduka Play: Master Deret Aritmetika

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Prompt Eduka Play: Master Deret Aritmetika

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Misi Deret Aritmetika (SMA Unggulan)

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Almira Afifa fitiya
Almira Afifa fitiya
United States

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Prompt Eduka Play: Master Deret Aritmetika
 

Prompt Eduka Play: Master Deret AritmetikaOnline version

Misi Deret Aritmetika (SMA Unggulan)

by Almira Afifa fitiya
1

Besar beda (b) dari deret 3, 7, 11, ... adalah?

2

Temukan suku ke-10 U10 jika barisan dimulai 3, 7, 11, ...

3

Dari U3=10 dan U7=22, cari U15.

4

Jumlah 20 suku pertama deret dengan a=1, b=2 adalah?

5

Dari U5=17 dan U9=25, temukan U12.

6

Banyaknya beda (b) jika deret 6, 10, 14, ... adalah?

7

Jumlah suku pertama deret dengan a=5, b=3 hingga n=12 adalah?

8

Dari deret asosiatif dengan a=2, b=3, temukan U4.

9

Jumlah 15 suku pertama dengan a=4, b=5 adalah?

10

Dalam cerita tabungan, jika a=100 dan b=20, berapa U6?

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Ingat, beda (b) = U2 - U1 = 7 - 3 = 4.

U_n = a + (n-1)b; a=3, b=4, so U10 = 3 + 9×4 = 39.

Dari U_n = a+(n-1)b, selisih 4 suku: 4b = 12 → b=3; a=4; U15=4+14×3=46.

S20 = n/2[2a+(n-1)b] = 10[2+38] = 400.

U5=a+4b=17 dan U9=a+8b=25 → b=2, a=9; U12=9+11×2=31.

U2-U1 = 10-6 = 4.

S12 = 12/2[2a+(12-1)b] = 6[10+33] = 6×43 = 258.

U4 = a+(4-1)b = 2+3×3 = 11.

S15 = 15/2[2a+(15-1)b] = 7.5[8+70] = 7.5×78 = 585 (sebagai cek).

U6 = a+(6-1)b = 100+5×20 = 200.

 
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