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Find an expression in terms of n for summation

  1. Apr 26, 2010 #1
    1. The problem statement, all variables and given/known data
    By first expressing the general term in partial fractions, find an expression in terms of n for
    summation of r=2 to n ( 1 / (r^2 - 1) ). Hence show that summation of r=1 to n ( 1 / r^2) i less than 7/4 for all values of n


    2. Relevant equations



    3. The attempt at a solution
    I solved the first part of the question already. However, I'm stuck at the second part. Can anyone give me some clues to showing 1/r^2 sum from r = 1 to n is always less than 7/4?
    Thank you.
     
  2. jcsd
  3. Apr 27, 2010 #2

    HallsofIvy

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    Staff Emeritus
    Science Advisor

    Re: summation

    Well, what did you get for the first part? I suspect that is important to solving the second part!
     
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