Question: 3. (20 points, 10 each) Put the following recurrence relations into closed form: State any assumptions made a) T(n) = 2T(n-2) + 1 T(2) =

3. (20 points, 10 each) Put the following recurrence relations into

3. (20 points, 10 each) Put the following recurrence relations into closed form: State any assumptions made a) T(n) = 2T(n-2) + 1 T(2) = 4 Hint: Use parentheses to isolate T(n-j) when expanding b) T(n) = 2T(n/4) +2 T(1) = 1 => Hints: Assume n= - 4k k= log4 n Use parentheses to isolate T(n/41) when expanding

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