in a GP the sum of first and fifth term is 34 and the product of second ,third and fifth term is 512.find the numbers.

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  1. a + ar^4 = 34
    ar * ar^2 * ar^4 = 512

    a(1+r^4) = 34
    a^3 r^7 = 512

    Looks kind of messy, but since the only factors of 34 are 2 and 17, it appears that

    a=2 and r=2

    I think the second condition should have used the 4th term, rather than the 5th. If so, then since 2^9=512, that fits with what we have so far.

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