Matematika

Pertanyaan

Diketahui barisan geometri suku pertama 1/9 dan rasionya 3, tentukan S5!

2 Jawaban

  • S5 = 1/9 . (3^5 - 1) (3-1)
    S5 = 1/9 (243-1) / 2
    S5 = 1/9 . 242/2
    S5 = 1/9 × 121
    S5 = 121/9
  • Diketahui:
    a = 1/9
    r = 3

    Ditanya:
    S5 = ???

    Jawab:
    Sn = a.(rⁿ - 1)/(r - 1)
    S5 = 1/9.(3⁵ - 1)/(3 - 1)
    S5 = 1/9.(243 - 1)/2
    S5 = 1/9.(242) x 1/2
    S5 = 242/9 x 1/2
    S5 = 242/18
    S5 = 13,44

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