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Find the following sum

  1. Dec 14, 2009 #1
    1. The problem statement, all variables and given/known data
    [tex]\sum_{k=1}^{100} (\frac{1}{k} - \frac{1}{k+1})[/tex]


    2. Relevant equations



    3. The attempt at a solution

    Unsure how to approach this...
     
  2. jcsd
  3. Dec 14, 2009 #2

    rock.freak667

    User Avatar
    Homework Helper

    Re: Summation

    consider the same series

    [tex]\sum_{k=1}^{n} (\frac{1}{k} - \frac{1}{k+1})[/tex]


    Now write out a few terms (k=1,k=2,k=3,k=n-2,k=n-1,k=n) and see what happens.
     
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