Question: Problem 2. (25 points) Derive a closed form for the recurrence T(n)=2T(n/2)+c, where T(1)=1 and c is some constant, using iterative substitution. Then, prove that

Problem 2. (25 points) Derive a closed form for the recurrence T(n)=2T(n/2)+c, where T(1)=1 and c is some constant, using iterative substitution. Then, prove that the formula is correct via induction. You may assume n to be of the form 2k for some natural number k

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