It is not possible to answer the question since a non linear sequence could be geometric, exponential, trigonometric etc.
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frequency modulation is non linear due to cross over term.
There are infinitely many possible answers. Given ANY number, it is always possible to find a polynomial of order 5 [at most] that can be used as the nth term rule for the given five number and the additional sixth. There are also non-polynomial solutions. Each different sixth number will result in a different polynomial and, since there are infinitely many sixth numbers, there are infinitely many answers to the question. Having said that, the simplest polynomial solution is Un = 9n - 2
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
If you mean y = 4x+2 then it is the linear equation of a straight line