Bila a=6,r=7 dan Un=486 hitunglah nilai n dan Sn
Matematika
vera254
Pertanyaan
Bila a=6,r=7 dan Un=486 hitunglah nilai n dan Sn
1 Jawaban
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1. Jawaban Robinn
a = 6
r = 3 (dari komen soal)
Un = 486
Un = ar^n-1
486 = 6 . 3^n-1
486 / 6 = 3^n-1
81 = 3^n-1
3^4 = 3^n-1
4 = n - 1
n = 4 + 1
n = 5
S5 = a (r^n - 1) / r - 1
S5 = 6 (5^5 - 1) / 5 - 1
S5 = 6 (3125 - 1) / 4
S5 = 3 (3124) / 2
S5 = 3 . 1562
S5 = 4686