Question: What is the step response of the system y(n)=ay(n-1)+x(n) -1<a<1, when the initial condition is y(-1)=1?

Options

A : frac{1}{1-a}(1+an+2)u(n)

B : frac{1}{1+a}(1+an+2)u(n)

C : frac{1}{1-a}(1-an+2)u(n)

D : frac{1}{1+a}(1-an+2)u(n)

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