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1Recurrences. a)Solve the following recurrence. You may assume any convenient form for n. T(1) = 0. T(n) = T(n/2)+1, n>1 b)Consider the following recurrence relation:

1Recurrences.

a)Solve the following recurrence. You may assume any convenient form for n. T(1) = 0. T(n) = T(n/2)+1, n>1

b)Consider the following recurrence relation:

T(1) = 4

T(n) = T(n-1) +4 Argue using mathematical induction that T(n) = 4n Note that you must induction to establish the solution.

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