Discrete time system transfer function, Electrical Engineering

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For a discrete time unit step input x(kT), the output y(kT) of a system is shown below,

Part (a)

Obtain the Z-transform of the output signal y(kT).

Part (b)

Find out the discrete time system transfer function G(z)=Y(z)/X(z)

Part (c)

Rewrite this system in a difference equation form, and verify your result by reproducing the
first four terms (k=0, 1, 2 & 3) of the output signals for a unit step input.

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