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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

  1. $4\left(-\dfrac{1}{3}\right)^{n}\:u[n]-5\left(-\dfrac{2}{3}\right)^{n}\:u[n]$
  2. $5\left(-\dfrac{2}{3}\right)^{n}\:u[n]-3\left(-\dfrac{1}{3}\right)^{n}\:u[n]$
  3. $5\left(\dfrac{1}{3}\right)^{n}\:u[n]-5\left(\dfrac{2}{3}\right)^{n}\:u[n]$
  4. $5\left(\dfrac{2}{3}\right)^{n}\:u[n]-5\left(\dfrac{1}{3}\right)^{n}\:u[n]$
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