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for the what value of x the numbers x-2, x,x+3 are in g.p.

  • g.p. -

    when their ratios are equal. So, you need

    x/(x-2) = (x+3)/x
    x^2 = (x+3)(x-2)
    x^2 = x^2+x-6
    x-6 = 0
    x = 6

    4,6,9 have the common ratio 3/2

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