Suku ke-41 dari barisan 10,17,24,31,... adalah
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a = 10
U2 = 17
U3 = 24
Ditanya :
U41?
Jawab :
b = U3 - U2 = U2 - a
b = 24 - 17 = 17 - 10
b = 7
Un = a + (n - 1)b
U41 = 10 + (41 - 1)7
U41 = 10 + (40)7
U41 = 10 + 280
U41 = 290
10, 17, 24, 31, ...
a = 10 (suku pertama)
b = 7 (perbedaan setiap suku)
Un = a + (n-1) b
Un = 10 + (n-1) 7
Un = 10 + 7n - 7
Un = 3 + 7n
U41 = 3 + 7 x 41
U41 = 3 + 287
U41 = 290
Jadi suku ke-41 adalah 290