Question: Problem 3. Find the exact solution to the following recurrence and prove it using induction on n. T (1) = 2 and T (n) =

Problem 3. Find the exact solution to the following recurrence and prove it using induction on n.

T (1) = 2 and T (n) = 1/2 T (n 1) + 2n + 1 for all n > 1

(Hand written solution please)

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