An input signal x(t) = 2 + 5sin(100πt) 2 is sampled with a sampling frequency of 400 Hz and applied to the system whose transfer function is represented by

Y(z)	=	1		(1 - z-N)
Z(z)		N		(1 - z-1)

where, N represents the number of samples per cycle. The output y(n) of the system under steady state is