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Math Help - Sum of series

  1. #1
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    Sum of series

    deduce that

    that the n sum of 1/((2k-1)(2k+1)) = 1/2(1-1/(2n+1))
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  2. #2
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    Hello, mathshelpneeded!

    Deduce that:
    . . n . . . . .1 . . . . . . . . . . . . . . .1
    . . .---------------- . = . [1 - ------ ]
    . k=1 (2k-1)(2k+1). . . . . . . . . 2n+1

    . . . . . . . . .1 . . . . . . . . . . . . .1 . . . . .1
    Hint: .---------------- . = . [ ------- - -------- ]
    . . . . .(2k-1)(2k+1) . . . . . . . 2k - 1 . 2k + 1


    This is a "telescoping" series.

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