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Solve the following recurrence relation, and prove your solution is correct by using mathematical induction. T(n) = 2 T(n-1) + 5, T(0) = 3 I

Solve the following recurrence relation, and prove your solution is correct by using mathematical induction.

T(n)= 2T(n-1)+ 5, T(0)= 3

I have gotten 3(2^n) + 5n, however I am having trouble proving this by induction. So really the only part I need help with is induction. Thank you

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