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A system accepts a sequence of real numbers $x[n]$ as input and outputs
\[
y[n]=\left\{\begin{array}{ll}
0.5 x[n]-0.25 x[n-1], & n \text { even } \\
0.75 x[n], & n \text { odd }
\end{array}\right.
\]
The system is

  1. non-linear.
  2. non-causal.
  3. time-invariant.
  4. All of the above.
  5. None of the above.
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