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Math Help - product of two infinite series

  1. #1
    Junior Member
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    product of two infinite series

    Hello All,

    suppose x and y are both between 0 and 1, I want to sum from 1 to infinity. Is there a nice way to express (in terms of a geometric series) the infinite sum of x^t times y^(t-1)? Thank you kindly for your help,

    Sincerely,

    Nick
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by salohcin View Post
    Hello All,

    suppose x and y are both between 0 and 1, I want to sum from 1 to infinity. Is there a nice way to express (in terms of a geometric series) the infinite sum of x^t times y^(t-1)? Thank you kindly for your help,

    Sincerely,

    Nick
    Summation by parts may be what you need

    CB
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