Consider a system with the following impulse response: $h(n)=2^{n}u(n)$

Determine the response of the system with the following input: $x(n)=2(n-1)+u(n)$

Select one:

a$.y(n)=\frac{1-2^{n+1}}{1-2}+2^{n\frac{1-2^{n+1}}{1-2}}$

b$.y(n)=\frac{1-2^{n+1}}{1-2}+2^{n-1}u(n-1)$

c$.$ None of the answers

d$.y(n)=\frac{1-2^{n+1}}{1-2}+2^{n}u(n-1)$