Prove the following formulas using mathematical induction. (a) 1 + 3 + 5+ ... + (2n-1)...

 

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Prove the following formulas using mathematical induction. (a) 1 + 3 + 5+ ... + (2n-1) = n. (b) 1 + 2 + 3 + ... + n = n(n + 1)(2n + 1) 6 (c) 1 + 2 +33 +...+n: n(n + 1) 4 Prove the following formulas using mathematical induction. (a) 1 + 3 + 5+ ... + (2n-1) = n. (b) 1 + 2 + 3 + ... + n = n(n + 1)(2n + 1) 6 (c) 1 + 2 +33 +...+n: n(n + 1) 4