HW1: If the input to a system is a discrete time unit step, then prove that: y(n) = 2u(n) – 8(n) + 8(n – 1), knowing that the system transfer function is given by: H(z) = 1+ 2Z-1-z-2 Also, find the...

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Extracted text: HW1: If the input to a system is a discrete time unit step, then prove that: y(n) = 2u(n) – 8(n) + 8(n – 1), knowing that the system transfer function is given by: H(z) = 1+ 2Z-1-z-2 Also, find the 1st five terms of the output sequence.