Consider the following recurrence. T(n) = 5 if 1 n 3, (2n+T() +T() +T()...

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Consider the following recurrence. T(n) = 5 if 1 ≤ n ≤ 3, (2n+T() +T() +T() if n > 3. (a) (2 marks) What is the solution to this recurrence? Your answer must be as precise as possible. You must write your answer using the big-O notation. (b) (8 marks) Prove that your answer is correct. You must use a proof by induction. You cannot use the Master Theorem. You must justify every step of your proof. Consider the following recurrence. T(n) = 5 if 1 ≤ n ≤ 3, (2n+T() +T() +T() if n > 3. (a) (2 marks) What is the solution to this recurrence? Your answer must be as precise as possible. You must write your answer using the big-O notation. (b) (8 marks) Prove that your answer is correct. You must use a proof by induction. You cannot use the Master Theorem. You must justify every step of your proof.

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