Matematika

Pertanyaan

1.Tentukan banyaknya suku untuk setiap barisan geometris berikut
a.5,10,20,...,1280
b.-128,64,-32,...,1/16

1 Jawaban

  • a.
    a= 5
    r= 2
    Un = 1280
    ar^n-1 = 1280
    5 (2^ n-1) = 1280
    (2^ n-1 )= 256
    2^n-1 = 2^8
    n-1 = 8
    n = 9

    b.
    a= -128
    r = -1/2
    Un = 1/16
    ar^n-1 = 1/16
    -128 (-1/2)^n-1 = 1/16
    (-1/2)^n-1 = 1/16 : -128
    (-1/2 )^n-1 = -1/2048
    (-1/2 )^n-1 = -1/2 ^ 11
    n-1 = 11
    n = 12

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