Question

A discrete-time system is described by the following rule
y(n)=(-1)^n x(n) + 2x(n -1)
where x is the input signal, and y the output signal.

Classify the system as:
1-Determined
2-With memory

Answer 1

1) The system has only unique output for unique input.It does't show multiple outputs.Thus it could be called determined or deterministic.The system is determined.

2) The term $x(n-1)$ makes the system depend on past inputs. hence The system is memory system or with memory.