Digital signal communication?

a)By using the inverse z-transform, show that the first four samples of the impulse response of the system is

h(n) = {0.5, -0.75, -0.375, -0.1875 ….}.

Answer:
You didn't put your system on there, but to find h[n], substitute the x[n] of your system with a delta function.

Assuming that the z-transform giving to you has x[n] and z^-n, all you need to do is put it into the form of the z-transform to extract any other constants and such.

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