Matematika

Pertanyaan

diketahui deret geometri 16+8+4+5+...+1/64
tentukan n dan sn nya

1 Jawaban

  • r = U2/U1
    r = 8/16
    r = 1/2

    Un = a.r^(n-1)
    1/64 = 16.(r^n):r
    1/64 = 16.(r^n) : 1/2
    1/64 = 32 (1/2^n)
    1/(64.32) = 1/2^n
    1/2^11 = 1/2^n
    n = 11


    Sn = a(1-(r^n)):(1-r)
    = 16(1-(1/2^11):(1-1/2)
    = 16 . ((2^11)-1):2^11:1/2
    = 32 : 2^11.((2^11)-1)
    = 2^5:2^11.((2^11)-1)
    = ((2^11)-1):2^6
    = (2.048-1):64
    = 2.047/64

    *note "^" = pangkat

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