Classical examples of mathematical induction – math.stackexchange.com

Classical examples of mathematical induction – math.stackexchange.com

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What are some interesting, standard, classical or surprising proofs using induction? Here is what I got so far: There are some very standard sums, e.g, $\sum_{k=1}^n k^2$, $\sum_{k=1}^n (2k-1)$ ...

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