Matematika

Pertanyaan

tentukn n jika 4+4²+4³+...+4n=1364

1 Jawaban

  • 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

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