Question: Consider the following recurrence: T(3) = 3 T(n) = 3 T(n/3) + n for n = 3k, k > 1. Prove using mathematical induction that

Consider the following recurrence:

T(3) = 3 T(n) = 3 T(n/3) + n for n = 3k, k > 1.

Prove using mathematical induction that the solution to this recurrence is T(n) = n log3 n.

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