Consider the following recurrence relation: T (n) = {1 n = 1 7T (n/2} + 1 n > 1 a) Use the master theorem to show that T(n) elementof theta (n^log_2^(7)) b) Use induction to show that T(n) = 1/6 (7n^log_2(7) – 1)
Consider the following recurrence relation: T (n) = {1 n = 1 7T (n/2} + 1 n > 1 a) Use the master theorem to show that T(n) elementof theta (n^log_2^(7)) b) Use induction to show that T(n) = 1/6 (7n^log_2(7) – 1)