A realization of a stable discrete-time system is shown in the figure. If the system is excited by a unit step sequence input x[n], the response y[n] is

\(5{\left( {\frac{2}{3}} \right)^n}u\left[ n \right] - 5{\left( {\frac{1}{3}} \right)^n}u\left[ n \right]\)

\(4{\left( { - \frac{1}{3}} \right)^n}u\left[ n \right] - 5{\left( { - \frac{2}{3}} \right)^n}u\left[ n \right]\)

\(5{\left( { - \frac{2}{3}} \right)^n}u\left[ n \right] - 3{\left( { - \frac{1}{3}} \right)^n}u\left[ n \right]\)

\(5{\left( {\frac{1}{3}} \right)^n}u\left[ n \right] - 5{\left( {\frac{2}{3}} \right)^n}u\left[ n \right]\)

A realization of a stable discrete-time system is shown in the figure.

1.	A realization of a stable discrete-time system is shown in the figure. If the system is excited by a unit step sequence input x[n], the response y[n] is
A.	\(4{\left( { - \frac{1}{3}} \right)^n}u\left[ n \right] - 5{\left( { - \frac{2}{3}} \right)^n}u\left[ n \right]\)
B.	\(5{\left( { - \frac{2}{3}} \right)^n}u\left[ n \right] - 3{\left( { - \frac{1}{3}} \right)^n}u\left[ n \right]\)
C.	\(5{\left( {\frac{1}{3}} \right)^n}u\left[ n \right] - 5{\left( {\frac{2}{3}} \right)^n}u\left[ n \right]\)
D.	\(5{\left( {\frac{2}{3}} \right)^n}u\left[ n \right] - 5{\left( {\frac{1}{3}} \right)^n}u\left[ n \right]\)
Answer» D. \(5{\left( {\frac{2}{3}} \right)^n}u\left[ n \right] - 5{\left( {\frac{1}{3}} \right)^n}u\left[ n \right]\)