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Thread: Sum of a series

  1. June 1st 2011, 05:21 PM #1
    becko
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    Sum of a series

    I'm trying to find the value of the following series

    \sum _{n=1}^{\infty } \frac{1}{n}\left(\frac{np}{p+n}\right)^{n+1}

    where 0<p<1. Any thoughts? Thanks.
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  2. June 2nd 2011, 12:42 PM #2
    girdav
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    Even here the problem hasn't be solved. With the fact that 0<p<1, I guess you work on probabilities. Maybe you don't have to compute the sum but only establish some properties.
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