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Barisan Aritmetika

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Barisan Aritmetika

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Kuis barisan aritmetika

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Mutia Asyari
Mutia Asyari
Indonesia

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Barisan Aritmetika
 

Barisan AritmetikaOnline version

Kuis barisan aritmetika

by Mutia Asyari
1

Diketahui barisan aritmetika: 5, 9, 13, 17, ... Suku ke-8 dari barisan tersebut adalah …

2

Suku ke-3 dari suatu barisan aritmetika adalah 12, dan suku ke-7 adalah 28. Beda barisan aritmetika tersebut adalah

3

Suku pertama suatu barisan aritmetika adalah 7 dan suku ke-6 adalah 22. Rumus suku ke-n dari barisan aritmetika tersebut adalah …

4

Diketahui barisan aritmetika: 2, 6, 10, 14, ... Rumus suku ke-n dari barisan tersebut adalah …

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Diketahui : Barisan aritmetika : 5, 9, 13, 17, .. a = 5, b = 4, dan n = 8 Ditanya : Suku ke-8 (U8)? Jawab : Un = a + (n-1)b U8 = 5 + (8-1)4 = 5 + 28 = 33

Diketahui : U3 = 12 U7 = 28 Ditanya : beda barisan aritmetika (b)? Jawab : U3 = a + 2b 12 = a + 2b U7 = a +6b 28 = a + 6b Eliminasi a pada dua persamaan tersebut a + 2b - (a+6b) = 12 - 28 -4b = -16 b = -16/-4 b = 4 Jadi, beda barisan aritmetika tersebut adalah 4.

Diketahui : a = 7 U6 = 22 Ditanya : Rumus suku ke-n? Jawab : U6 = 22 sehingga 22 = 7 + (6-1)b 22 = 7 + 5b 5b = 22 - 7 5b = 15 b = 3 Maka rumus suku ke-n adalah Un = 7 + (n-1)3 Un = 7 + 3n - 3 Un = 3n +4

Diketahui : a = 2, b = 4 Ditanya : rumus suku ke-n? Jawab : Un = a + (n-1)b Un = 2 + (n-1)4 Un = 2 + 4n - 4 Un = 4n - 2

 
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