Consider a discrete-time system with input x(n) and output y(n) related by wher...

Consider a discrete-time system with input x(n) and output y(n) related by

where n₀ is a finite positive integer.

(a) Is this system linear?

(b) Is this system time-invariant?

(c) If x[n] is known to be bounded by a finite integer B it can be shown that y[n] is bounded by a finite number C. We conclude that the given system is stable. Express C in terms of B and n_0.