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The product of three consecutive term of a g.p is _64 and the first term is four times the third. find the term.

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  1. a r^n * ar^(n+1) * a r^(n+2)
    = a^3 r^(3n+3) = 64
    so
    a r^(n+1) = 4

    a r^n = 4 a r^(n+2)
    1 = 4 r^(n+2)/r^n
    1/4 = r^2
    r = + or - 1/2
    say n = 0
    r = 1/2
    (a) ( a/2) (a/4) = 64
    a^3 /8 = 64
    a = 8
    so
    8 4 2 Yeah it works :)

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