Find the z transform of (n + 1)^2
- A. z^2(2z + 1)/(z - 1)^3
- B. (2z + 1)/(z - 1)^3
- C. (2 + z)/(z - 1)^2
- D. (3z + 2)/(z - 1)
Answer: A. z^2(2z + 1)/(z - 1)^3
Explanation: Z{(n + 1)²} = Z{n² + 2n + 1}. With Z{1} = z/(z−1), Z{n} = z/(z−1)², Z{n²} = z(z+1)/(z−1)³, combining yields z²(2z + 1)/(z − 1)³.