Diketahui suku ke-5 dan suku ke-9 dari suatu barisan bilangan aritmetika adalah 18 dan 6. Tentukan suku ke201320

11 sec read


Diketahui suku ke-5 dan suku ke-9 dari suatu barisan bilangan aritmetika adalah 18 dan 6. Tentukan suku ke–20​

Penyelesaian

U5 = a + 4

18 = a + 4b …… (1)

~

U9 = a + 8

6 = a + 8b …… (2)

~

Eliminasi pers. (1) dan (2)

a + 4b = 18

a + 8b = 6

—————– –

-4b = 12

b = 12 : (-4)

b = -3

~

a + 4b = 18

a + 4(-3) = 18

a – 12 = 18

a = 18 + 12

a = 30

~

U20 = a + 19

U20 = 30 + 19(-3)

U20 = 30 – 57

U20 = -27


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