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The first three terms of an arithmetic-geometric progression are 3, –1 and –1. The next term of the progression is

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  1. ab = 3
    (a+d)(br) = -1
    (a+2d)(br^2) = -1
    One solution is d = -2, a = -d/2, b = -6/d, r = 1/3
    AP: 1, -1, -3
    GP: 3, 1, 1/3

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