Matematika

Pertanyaan

jika U5=1/8 dan U3=½. Tentukan S17?

1 Jawaban

  • ar⁴ = 1/8
    ar² = 1/2

    subtitusi ar² ke ar⁴
    ar⁴ = 1/8
    ar².r² = 1/8
    1/2.r² = 1/8
    r² = 1/8.2
    r² = 1/4
    r = √1/4
    r = 1/2

    ar² = 1/2
    a.(1/2)² = 1/2
    1/4.a = 1/2
    a = 1/2.4
    a = 2

    S17 = a(1-r^n)/1-r
    = 2(1-(1/2)^17)/1-1/2
    = 2(1-(1/131072)/1/2
    = 2(131071/131072)/1/2
    = 131071/65536/1/2
    = 2.131071/65536/1
    = 262142/65536

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