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I am trying to figure out this discrete math problem. I am not sure how to do it or even how to really start it. The problem is as follows:

Consider values of $\frac{\sum_{i=1}^n i^2}{\sum_{i=1}^n i}$ for several small values of n. What formula will express $\sum_{i=1}^n i^2$ in terms of $n$. Prove this is a correct formula.

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