Question: nd use induction to prove for n (a Express the following in summation notationa natural number): I. 1+3+5+ 4(2n-1) = n2 2.S1=1, Sn= So-1 +

nd use induction to prove for n (a Express the following in summation notationa natural number): I. 1+3+5+ 4(2n-1) = n2 2.S1=1, Sn= So-1 + 2n for all n 22 write a recursive algorithm that computes Sn= 2+4+6+ +2 n Give a proof using mathematical induction that your algorithm is correct
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