Answered! Consider the following recurrence relation: T (n) = {1 n = 1 7T (n/2} + 1 n > 1 a) Use the master theorem to show that…

Problem 6 Consider the following recurrence relation: T(n) 7T(B) 1 n 1 a) Use the master theorem to show that T(n) E e nlog2(7) b) Use induction to show that T(n) (7nlog2 (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)

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