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I got this quadratic function from physics that I need to find the sum of each term, up to whatever point. Written thusly:

$ \sum_{n=1}^{t}4.945n^2$

And is there someway to quickly figure this out? Or links to tutorials

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There is the standard formula $\sum_{k=1}^n k^2=\frac{n(n+1)(2n+1)}{6}.$

It can be proved by a pretty routine induction.

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    Y$e$s, that's all that need to be done.2012-09-26