Find a closed-form solution for the following recurrence relation: T(n) = \beg...
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Find a closed-form solution for the following recurrence relation:
T(n) = \begin{cases} 2T(n-2)+a, & \text{if } n > 0,\\ b, & \text{if } n = 0, \end{cases}
where a and
b are positive constants. Assume
n is even. You may optionally provide working & verification, although please clearly state your closed form at the bottom of the response.
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