Can you please solve this question? (I need help especially for the part f)

Thanks,

A oausal LTI system has the following system function: 4 + 0.2551 {1532 H = (a) (1 0.2sz-l)(1 +0.55%} [a] .What is the HUB for Hfzj? [b] Determine if the system is stable or not. [1:] Determine the differenoe equation that is satisfied by the input n] and the output n]. [d] Use a partial fraction expansion to determine the impulse response fin]. [a] l-\"Ind We), the z-transform of the output. when the input is n] = u[n 1]. Be sure to specify the FIDO for We). [f] Fund the output sequenoe n] when the input is n] = u[n 1]