2. Tentukan tiga suku berikutnya dari barisan bilangan berikut. a. 3,6,9,12, …,…,…

2. Tentukan tiga suku berikutnya dari barisan bilangan berikut.
a. 3,6,9,12, …,…,…

Jawaban yang benar adalah 15, 18, 21

Pembahasan:

Ingat rumus suku ke-n barisan aritmatika: Un = a + (n – 1)b
Un = suku ke-n
a = suku pertama
b = beda suku
n = banyak suku

Diketahui pada soal barisan aritmatika 3, 6, 9, 12, …, …, …
a = 3
b = U2 – U1 = 6 – 3 = 3
Tiga suku berikutnya berarti suku ke 5, 6 dan 7
Un = a + (n – 1)b
U5 = 3 + (5 – 1)(3)
U5 = 3 + (4)(3)
U5 = 3 + 12
U5 = 15

Un = a + (n – 1)b
U6 = 3 + (6 – 1)(3)
U6 = 3 + (5)(3)
U6 = 3 + 15
U6 = 18

Un = a + (n – 1)b
U7 = 3 + (7 – 1)(3)
U7 = 3 + (6)(3)
U7 = 3 + 18
U7 = 21

Jadi, dua suku berikutnya adalah 15, 18, 21

 

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