Matematika

Pertanyaan

diketahui barisan geometri 1,3,9,27... jika un=2187 tentukan n

1 Jawaban

  • 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

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