Matematika

Pertanyaan

suatu deret geometri di ketahui V2=8 dan V5=1 tentukan jumlah suku pertamanya

1 Jawaban

  • dik: U2 = 8; U5 = 1;
    dit: S5?
    jawab:
    U2 = ar = 8
    a = 8/r

    U5 = ar⁴ = 1
    (8/r) r⁴ = 1
    8r³ = 1
    r³ = 1/8
    r = 1/2

    a = 8/r
    a = 8/(1/2)
    a = 16

    S5 = a(1 - r^n) / (1 - r)
    S5 = 16(1 - (1/2)⁴) / (1 - (1/2))
    S5 = 16(1 - (1/16)) / (1/2)
    S5 = 16(15/16) . 2
    S5 = 15 . 2
    S5 = 30

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