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Proofs by induction (Induction on natural numbers Prove that the following properties hold for every n E N. (A) 02 + 12 + 22 +

Proofs by induction (Induction on natural numbers Prove that the following properties hold for every n E N. (A) 02 + 12 + 22 + ... + (n - 1)2 + n2 = n(n+1)(2n+1) 6 (B) n(n + 1) is an even number

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