Matematika

Pertanyaan

di ket u1=2/3 barisan geometri dan suku ke tiga =2/27 jumlah 4 suku pertama adalah

1 Jawaban

  • U1 = a = 2/3
    U3 = ar^2 = 2/27
    (a).r^2 = 2/27
    (2/3).r^2 = 2/27
    r^2 = 2/27 x 3/2
    r,^2 = 1/9
    r^2 = (1/3)^2
    r = 1/3
    Sn = a ( 1-r^n) / (1-r)
    S4 = 2/3 { 1 - (1/3)^2 } / (1-1/3)
    = 2/3 ( 1 - 1/9) / (2/3)
    = 1 - 1/9
    = 8/9

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