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Math Help - partial fractions for summing series

  1. #1
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    partial fractions for summing series

    how did it find this 1-1/(n+1) ?

    if is subtract 1/n - 1/n+1 the result is different
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  2. #2
    Senior Member jakncoke's Avatar
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    Re: partial fractions for summing series

    Basically saying all the terms  \frac{1}{2}, \frac{1}{3}, ..., \frac{1}{n} terms get cancelled out leaving you with a 1 from backet 1, and \frac{-1}{n+1} from bracket 2, so you get  1 - \frac{1}{n+1}
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