Determine the z-transform of each of the following sequences. Include with your answer t...

Determine the z-transform of each of the following sequences. Include with your answer the ROC in the z-plane and a sketch of the pole–zero plot. Express all sums in closed form; α can be complex.

Hint: Note that x_b [n] is a rectangular sequence and x_c[n] is a triangular sequence. First, express x_c[n] in terms of x_b [n].