The sum of all possible values of $n \in N$, so that the coefficients of $x, x^2$ and $x^3$ in the expansion of $\left(1+x^2\right)^2(1+x)^n$, are in arithmetic progression is:

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The sum of all possible values of \(n \in N\), so that the coefficients of \(x, x^2\) and \(x^3\) in the expansion of \(…

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