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Math Help - Series

  1. #1
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    Series

    Hello, I really need a solution to this problem. My set is due tomorrow.

    /sum_{k=1}^(infinity) 1/(n(n+2)
    Determine whether the above series is convergent or divergent. If it is convergent, find its sum.

    Thank you in advance
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  2. #2
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    Quote Originally Posted by Recklessid View Post
    Hello, I really need a solution to this problem. My set is due tomorrow.

    /sum_{k=1}^(infinity) 1/(n(n+2)
    Determine whether the above series is convergent or divergent. If it is convergent, find its sum.

    Thank you in advance
    Is this supposed to be:
    sum{k = 1 to infinity} of 1/(k(k + 2)) ?

    -Dan
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  3. #3
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    Quote Originally Posted by Recklessid View Post
    Hello, I really need a solution to this problem. My set is due tomorrow.

    /sum_{k=1}^(infinity) 1/(n(n+2)
    Determine whether the above series is convergent or divergent. If it is convergent, find its sum.

    Thank you in advance
    This series is convergent.

    1/n(n+2) = .5/n - .5/(n+2)

    This is a telescoping series.
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