Matematika

Pertanyaan

Jumlah dari deret: 2 + 5 + 25/2 + .... + 3125/16 adalah...
a). 324 3/16
b). 324 1/16
c). 544 3/16
d). 544 1/16
Pakai Cara ya...

1 Jawaban

  • u1 = a = 2
    b = 5/2


    un = a*b^(n-1)

    3125/16 = 2*(5/2)^(n-1)

    3125/32 = (5/2)^(n-1)

    (5/2)log (3125/32) = n-1

    5 * (5/2)log (3125/32) = n-1

    n = 5 + 1 = 6

    sn =( a(r^n - 1))/(r^n -1)
    S6 = (2((5/2)^(6) - 1))/((5/2)- 1)
    s6 = 2(15625/64 - 1)/( 3/2)
    = (15561/32)/(3/2)
    = 5187/16 = 324 3/16

    jawabannya A

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