prove that the sum of first n ood nuber is n3
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Inductive Step: if P(n) is true, then P(n + 1) is true. Then P(n) is true for all positive integers. ... Example: Prove that the sum of the n first odd positive integers is n2, i.e., 1 + 3 + 5 + ··· + (2n − 1) = n2. Answer: Let S(n)=1+3+5+ ··· + (2n − 1).
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