Question: 5. (20 Points) Solve the following recurrence relations. (a) (5 Points) You need to show your work to get the credits. Solve the recurrence relation


5. (20 Points) Solve the following recurrence relations. (a) (5 Points) You need to show your work to get the credits. Solve the recurrence relation using the forward/backward substitution. T(n) = T(n-2) + T(n-1) for all n 0 and T(0) = T(I) = 1 [ANSWER (b) (5 Points) You need to show your work to get the credits using the recurrence tree method. T(N) = 2T(N/2) + N2 N21, T(0) = 0 [ANSWER) (c) (10 Points) Use the master method to solve the following recurrence relation. T(n) = Tn/3) + 1 [ANSWER] i. (1 Point) What is the value of a? ii. (1 Point) What is the value of b? iii. (1 Point) What is the value of d? iv. (2 Points) What is the Big-Oh
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