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March 28, 2017

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A geometric series has first term 8 and third term 20 what does the fifth term equal? What does the third partial sum equal?

  • math - ,

    8 8r 8r^2

    so 8 r^2 = 20
    r^2 = 20/8 = 5/2
    r = (5/2)^.5

    so
    8 8(5/2)^.5 8(5/2) 8(5/2)^1.5 8(5/2)^2
    fifth term = 8(25/4) = 50

    Sn = 8(1-r^n)/(1-r)
    S3 = 8 (1-(2.5)^1.5)/(1 -2.5^.5)
    40.65

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