tentukn n jika 4+4²+4³+...+4n=1364
Matematika
alfurqan13ptk
Pertanyaan
tentukn n jika 4+4²+4³+...+4n=1364
1 Jawaban
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1. Jawaban dewa251202
4 + 16 + 64 + .... + 4^n = 1.364
a = 4
r = 4
Sn = a(r^n - 1)/(r - 1)
1.364 = 4(4^n - 1)/(4 - 1)
1.364 = (4^n - 1) × 4/3
1.364 × 3/4 = 4^n - 1
4^n - 1 = 1.023
4^n = 1.023 + 1
4^n = 1.024
4^n = 4^5
n = 5