If \(x + \frac{1}{x} = - 2\) then the value of \({x^{2n + 1}} + \frac{1}{{{x^{2n + 1}}}}\) where n is a positive integer, is

If \(x + \frac{1}{x} = - 2\) then the value of \({x^{2n + 1}} + \frac{1}{{{x^{2n + 1}}}}\) where n is a positive integer, is
1). 0
2). 2
3). -2
4). -5

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