Matematika

Pertanyaan

jumlah 10 suku pertama dari barisan bilangan 1/4, 1/2, 1, 2, 4, ...
adalah...

2 Jawaban

  • a= 1/4
    r = u2/u1 = 1/2 / 1/4 = 2
    n = 10
    sn = a (r^n-1)/(r-1)
    = 1/4 (2^10-1)/(2-1)
    = 1/4 (1024-1)
    = 1/4 (1023)
    =255,75
  • *geometri

    ¼ , ½...
    a = ¼
    r = ½ ÷ ¼
    r = 2

    [tex]s10 = \frac{a( {r}^{10} - 1)}{r - 1} \\ s10 = \frac{ \frac{1}{4} ( {2}^{10} - 1) }{2 - 1} \\ s10 = \frac{1024 - 1}{4} \\ s10 = \frac{1023}{4} \\ s10 = 255 \frac{3}{4} [/tex]

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