Matematika

Pertanyaan

5/16 + 5/8 + 5/4 + 5/2 + 5 + ... + 160 ubahlah kebentuk notasi sigma?

1 Jawaban

  • 5/16 + 5/8 + 5/4 + ... + 160
    = 5 (1/16 + 1/8 + 1/4 + ... + 32)

    1/16 + 1/8 + 1/4 + ... + 32
    a = 1/16
    r = U2/a = 1/8 × 16 = 2

    Un = ar^(n - 1)
    Un = (1/16)(2^(n - 1)
    Un = 2^(n - 5)

    32 = 2^(n - 5)
    2^5 = 2^(n - 5)
    n = 10

    Bentuk notasi sigma
    10
    ∑ 5(1/16 + 1/8 + ... + 32)
    k = 1
    =
    10
    ∑5(2^(n - 5))
    n = 1

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