Matematika

Pertanyaan

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1 Jawaban

  • 3a)
    r = u2/u1 = 2/1 = 2
    a = 1

    U10 = ar^9 = 1.(2)^9 = 512
    S10 = 1(2^10-1) / 2-1 = 1023

    3b)
    r = u2/u1 = 18/54 = 1/3
    a = 54

    U8 = ar^7 = 54(1/3)^7 = 54/2187
    S8 = 54 (1-(1/3)^8) / 1-1/8
    S8 = 54 (1-1/6561) / 7/8
    S8 = 54 (6560/6561) / 7/8
    S8 = 2833920/45927

    3c)
    r = u2/u1 = -6/2 = -3
    a = 2

    U7 = ar^6 = 2(-3)^6 = 1458
    S7 = 2 (1-(-3)^7) / 1-(-3)
    S7 = 2 (1+2187) / 4
    S7 = 1094

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