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Direct expression for sum of squares

  1. Feb 19, 2006 #1
    How do you go from [tex]\sum_{n = 1}^n i^2[/tex] to [tex]\frac{n(n + 1)(2n + 1)}{6}[/tex]?
     
  2. jcsd
  3. Feb 19, 2006 #2

    arildno

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    Prove the formula by induction.
     
  4. Feb 19, 2006 #3
    I think you forgot to include something, what you wrote should simplify to [itex]n i^2[/itex].

    Edit: Unless I'm missing something :confused:
     
  5. Feb 19, 2006 #4

    arildno

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    Oops, the index should be i, not n as you've written.
     
  6. Feb 19, 2006 #5

    0rthodontist

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  7. Feb 19, 2006 #6
    Thanks for the info.

    My mistake with the index.
     
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