How to find the impulse response and step response of a DT system?

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qmriso

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A DT system is described as follows: T(x[n])=0.5*x[n-1]+0.5*x[n+1]. Find the impulse response and the step response of the system T.

Could anyone tell me please how to do this step-by-step?
Thanks for any help
 

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