Matematika

Pertanyaan

Diketahui deret geometri 45+15+5+.......... Tentukan S10?

1 Jawaban

  • U1 = 45
    U2 = 15
    U3 = 5

    r = Un/Un-1
    r = U2/U1
    r = 15/45
    r = 1/3
    r < 1

    S10 = a(1 - r^n) / 1 - r
    S10 = 45 (1 - 1/3^10) / 1 - 1/3
    S10 = 45 (1 - 1/3^10) / ⅔
    S10 = 3/2 × 45 (1 - 1/59049)
    S10 = 135/2 (59049/59049 - 1/59049)
    S10 = 135/2 (59048/59049)
    S10 = 135/2 × (59048/59049)
    S10 = 135 (29524/59049)
    S10 = 3985740/59049

    *harap koreksi

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