Give the closed-form solution of the recurrence relation where indicated by algebraically unrolling it or give the specified terms of the sequence denoted by the relation

Give the closed-form solution of the recurrence relation where indicated by algebraically unrolling it or give the specified terms of the sequence denoted by the relation. (a) Solve T(n) = 2T(n-1) + 2n-1 with the initial condition T(1) = 1, [10 points] (b) Give the first five terms, T(1), T(2),... , T(5), of the sequence denoted by the recur- IVe rence relation in 4(a). [5 points] (c) Solve T(n) = 2T ) + n with the initial condition T(1)-1 where n is a nonnegative power of 3. [10 points]