diketahui barisan geometri 1,3,9,27... jika un=2187 tentukan n
Matematika
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Pertanyaan
diketahui barisan geometri 1,3,9,27... jika un=2187 tentukan n
1 Jawaban
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1. Jawaban detektif07
a = u₁
= 1
r = uₙ/uₙ ₋ ₁
= u₃/u₃ ₋ ₁
= u₃/u₂
= 9/3
= 3
uₙ = a × rⁿ ⁻ ¹
2.187 = 1 × 3ⁿ ⁻ ¹
2.187 = 3ⁿ/3¹
2.187 = 3ⁿ/3
3ⁿ = 2.187 × 3
3ⁿ = 6.561
3ⁿ = 3⁸
n = 8