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The 2nd term in a geometric sequence is -4 and the 5th term is 32

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    a + ar + a r^2 + a r^3 + a r^4

    ar = -4
    a r^4 = 32

    a = -4/r

    (-4/r) r^4 = 32

    r^3 = -8
    so r = -2
    and a = 2

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