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21 January, 22:50

If x, y and z are the first three terms of an geometric sequence, show that x^2, y^2 and z^2 form another geometric sequence

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  1. 21 January, 23:14
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    x y z are in geometric

    x/y = y/z

    OR y^2=xz

    x^2, y^2, z^2

    x^2, xz, z^2

    If they are in geometric sequence then

    xz/x^2 = z^2/xz

    z/x = z/x

    The ratios are common

    so x^2, y^2 & z^2 is a GP.
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