Question: Consider the recurrence T ( n ) = 3 T ( n/ 2) + n . Use the recursion tree method to guess an asymptotic

Consider the recurrence T (n) = 3 T (n/2) + n.

  • Use the recursion tree method to guess an asymptotic upper bound for T (n). Show your work.

Prove the correctness of your guess by induction. Assume that values of n are powers of 2.

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