Question: Let T(1) = 1 and T(n) = T(n/2) + n2, n a power of 2. Apply mathematical induction to show that T(n) = (4n2 -

Let T(1) = 1 and T(n) = T(n/2) + n2, n a power of 2. Apply mathematical induction to show that T(n) = (4n2 - 1)/3. [Hint: use strong induction]

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