Multiple choice

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

  1. 4 $\Big(- \frac{1}{3} \Big)^n$u[n] – 5 $\Big(- \frac{2}{3} \Big)^n$u[n]
  2. 5 $\Big(- \frac{2}{3} \Big)^n$u[n] – 3 $\Big(- \frac{1}{3} \Big)^n$u[n]
  3. 5 $\Big( \frac{1}{3} \Big)^n$u[n] – 5 $\Big( \frac{2}{3} \Big)^n$u[n]
  4. 5 $\Big( \frac{2}{3} \Big)^n$u[n] – 5 $\Big( \frac{1}{3} \Big)^n$u[n]
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation