frequency modulation is non linear due to cross over term.
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It is possible to give an example of non-linear, but I have no idea what a non-example is. Is a non-example of linear a curve. That would be my first thought but not sure
Linear
It is not possible to answer the question since a non linear sequence could be geometric, exponential, trigonometric etc.
If you mean y = 4x+2 then it is the linear equation of a straight line
Mean filtering is linear but median filtering is non-linear.