Question: a) Use mathematical induction to show that 13+33+53++(2n+1)3=(n+1)2(2n2+4n+1) whenever n is a positive integer. b) Use mathematical induction to show that 1.31+3.51++(2n1)(2n+1)1=2n+1n whenever n is

a) Use mathematical induction to show that 13+33+53++(2n+1)3=(n+1)2(2n2+4n+1) whenever n is a positive integer. b) Use mathematical induction to show that 1.31+3.51++(2n1)(2n+1)1=2n+1n whenever n is a positive integer

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