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Possible Duplicate:
why is $\sum\limits_{k=1}^{n} k^m$ a polynomial with degree $m+1$ in $n$

I'm searching for a way to find the partial sum of a polynomial, is there any way of doing this formulaically instead of just guessing and checking?

For example...

$$\sum_{x=1}^n {x^{2}}=?$$

or...

$$\sum_{x=1}^n (4x^2+7x+2)=?$$

  • 0
    related : http://math.stackexchange.com/questions/49630/conceptual-basis-for-formula-for-sum-of-n-first-integers-raised-to-power-k2012-01-11
  • 0
    http://planetmath.org/encyclopedia/SumOfPowers.html2012-01-11

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