Q3Advanced Engineering Mathematics

The basic definition of the two-sided Z-transform for a discrete sequence $u_n$ is the infinite summation $Z\{u_n\}={\sum }_{n=-\infty }^{\infty }{u}_n{z}^{-n}$. By meticulously substituting the provided discrete sequence values for their respective specific time indices from $n=-3$ up to $n=4$, we obtain the algebraic polynomial $25z^3+10z^2+5z+3+2z^{-1}+z^{-2}+5z^{-4}$.