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Math Help - Infinite Series with Double Alternating Signs

  1. #1
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    Infinite Series with Double Alternating Signs

    What is an example of an infinite series that has double alternating signs?? --++--++ or ++--++--
    I'm drawing a blank! Please help!

    Something like: (-1)^(an expression of K)
    Last edited by betzenderfer; May 9th 2011 at 05:32 PM.
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  2. #2
    A Plied Mathematician
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    How about

    \sum_{k=0}^{\infty}\sin\left((2k+1)\,\frac{\pi}{4}  \right)\,\frac{1}{x^{k}}?
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