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  3. consider the following recurrence relation defined

Consider the following recurrence relation defined only for n = 2^k for integers k such that...

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Advance Math

Consider the following recurrence relation defined only for n =2^k for integers k such that k ? 1: T(2) = 7, and for n ? 4, T(n) =n + T(n / 2). Three students were working together in a study groupand came up with this answer for this recurrence: T(n) = n * log2(n) ? n ? log2 (n) + 8. Determine if this solution is correct bytrying to prove it is correct by induction.

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