Question: Given that T(n) = 5 for n = 1, and for all n 2, T(n) = T(n-2) + 5n + 7. Solve this recurrence using

Given that T(n) = 5 for n = 1, and for all n 2, T(n) = T(n-2) + 5n + 7. Solve this recurrence using the mathematical induction method, and assume that the guess is true for n=k. Then prove that it is also true for n=k+2. You also need to prove that your guess is true for the base case.

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