Matematika

Pertanyaan

Jumlah 5 suku dari deret 1+√3+3+3√3+...

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1 Jawaban

  • 1 + V3 + 3 + 3V3+
    suku pertama a = 1
    rasio r = V3/1 = 3/V3 = V3
    Sn = a ( r^n - 1) / (r-1)
    S5 = 1 ( V3^5 - 1) / ( V3- 1)
    = ( 3^5/2 -1) / (V3-1)
    = (9V3 - 1) / ( V3 -1)
    = (9V3 - 1) x (V3+1) / (3-1)
    = (9.3 +9V3 -V3 - 1) / 2
    = (26 +8V3)/2
    = 13 + 4V3

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