2. Use mathematical induction to prove that $n^3 - n$ is divisible by 3.
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Inductive hypothesis: Assume that for some positive integer k, n'=3k. Inductive step: We need to show that n'=3(k+1) is also divisible by 3. n' = 2n + 1 = 2(3k) + 1 Show more…
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