Consider the unit impulse response of a discrete time system is h$($n$)=0\mathrm{.}8$ n

u$($n$-2)$:

a$.$ Find the output y$($n$)$ using linear convolution sum, if the input is x$($n$)=0\mathrm{.}5$ n for n$4.$

b$.$ Find the output y$($n$)$ using linear convolution sum, if the input is x$($n$)=0\mathrm{.}5$ n for n$4$

c$.$ Using Z$-$transform property to find the answer in a$.$

d$.$ Using Z$-$transform property to find the answer in b