Recurrence relation, Computer Engineering

Take the following recurrence relation consider only for n = 2k for integers

k ≥ 1: T(2) = 9, and for n ≥ 4, T(n) = n + T(n /2).

Three students were working together in a study group and came up with three dissimi laranswers for this recurrence:

(a) T(n) = n log2(n) + 5

(b) T(n) = n log2(n) - n + 9

(c) T(n) = 2 n + 5

Examine which solution (if any) is correct by trying to prove that each one is correct by induction. If you cannot done the induction proof, describe what goes wrong.

Posted Date: 3/22/2013 2:43:57 AM | Location : United States

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