Matematika

Pertanyaan

Deret geometrik tak hingga 5 + 5/3 + 5/9 + 5/27+ .... = ....

1 Jawaban

  • Diket:
    a (suku pertama) = 5
    U2 = 5/3
    U3 = 5/9
    U4 = 5/27
    dst.

    r = U2/U1
    r = 5/3 / 5
    r = 1/3


    [tex] S_n = \frac{a}{1 - r} \\ S_n = \frac{5}{1 - \frac{1}{3}} \\ S_n = \frac{5}{\frac{2}{3}} \\ S_n = \frac{15}{2} = 7,5 [/tex]

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