Matematika

Pertanyaan

TENTUKA BANYAK SUKU UNTUK SETIAP BARISAN BERIKUT

A. 5, 15, 45,...., 32805
B. 36, 6, 1,...., 1/7776
C. -1/2, 1, -2,..., -512

1 Jawaban

  • 1. Un = ar^n-1
    32805 = 5.3^n-1
    6561 = 3^n-1
    ³log 6561 = n-1
    8 = n-1
    n = 8+1
    n = 9

    2. Un = ar^n-1
    1/7776 = 36(1/6)^n-1
    1/216 = (1/6)^n-1
    1/6log 1/216 = n-1
    3 = n-1
    n = 3+1
    n = 4

    3. Un = ar^n-1
    -512 = -1/2(-2)^n-1
    1024 = -2^n-1
    -2log 1024 = n-1
    10 = n-1
    n = 10+1
    n = 11

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