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Math Help - Sequences/Series question

  1. #1
    Junior Member
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    Sequences/Series question

    I don't know how the latex coding works sorry...

    I have to use the partial fraction technique on 1/(4k^2 - 1)...
    So far so good and I get 1 / 2(2k-1) - 1 / 2(2k+1), is this correct?


    ....................................n
    I now need to show that \sum 1 / 4k^2 - 1 = n / 2n + 1?
    ...................................k=1



    Please help
    Last edited by MathGuru; November 1st 2005 at 09:29 AM.
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  2. #2
    MHF Contributor
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    Quote Originally Posted by Natasha
    I don't know how the latex coding works sorry...

    I have to use the partial fraction technique on 1/(4k^2 - 1)...
    So far so good and I get 1 / 2(2k-1) - 1 / 2(2k+1), is this correct?


    ....................................n
    I now need to show that \sum 1 / 4k^2 - 1 = n / 2n + 1?
    ...................................k=1
    Please help
    Here's your question in Latex:

    \sum_{k=1}^{n}\frac{1}{k^2-1}
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