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Consider the following recurrence relation: T(0) = 1, T(1) = 5, T(n) = 4T(n 1) + 5T(n 2) for n 2 Use the guess and

Consider the following recurrence relation: T(0) = 1, T(1) = 5, T(n) = 4T(n 1) + 5T(n 2) for n 2 Use the guess and check method to guess a closed form for T(n) and then prove that it is a closed form for T(n) using induction.

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