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Identify the function

  1. Apr 5, 2007 #1
    1. The problem statement, all variables and given/known data

    We were asked to identify and rewrite the following statement. Not sure how to do a sum sign here so will just write sum for it:

    sum (lower i=0)(upper 2n) (i/n)^2 (1/n) = 1/n^3[ 1^3 + 2^3 + 3^3 + ... + (2n)^2

    2. Relevant equations

    I believe this is a Riemann Sum but not sure how to rewrite it.

    3. The attempt at a solution

    I have :

    I'm still looking for how to rewrite.

  2. jcsd
  3. Apr 6, 2007 #2


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    Staff Emeritus
    Science Advisor

    Note that this is NOT i3!

    Do you know a formula for the sum of squares: 1+ 4+ 9+ 16+ ...?
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