Induction With The Sum Of The Squares Of The First $n$ Natural Numbers

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Problem 35: (Induction With The Sum Of The Squares Of The First $n$ Natural Numbers)

Use induction to prove that $\ds 1^2+2^2+\cdots+n^2 = \frac{n(n+1)(2n+1)}{6}$ for every $n\in \mathbb{N}$.

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