Question: Given the recursion t n = t n -1 +2n (with t 1 =1) You experimented through substitution as follows: t 1 =1 t 2

Given the recursion

tn = tn-1+2n (with t1=1) You experimented through substitution as follows:

t1=1

t2=5

t3=11

t4=19

This leads you to believe the solution to the recursion might be n2+n-1. Use induction to prove the candidate solution is correct.

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