Signals and Systems - Z-transform

Consider the infinite-length, discrete-time sequence x[n] = 0.9|n|, where n is an integer. The region of convergence of its Z-transform X(Z) is given by: (Note: z is a complex variable)

If the Z-transform of a finite-duration discrete-time signal x[n] is X(z), then the Z-transform of the signal y[n] = x[2n] is