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  4. The coefficient of xn in the binomial expansion of (1 - x)-2 is

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Q. The coefficient of $x^n$ in the binomial expansion of $(1 - x)^{-2}$ is

Binomial Theorem

Solution:

$\because \left(1 - x\right)^{-2} = 1 + 2x + 3x^{2} + ...+\left(n + 1\right)x^{n} +...$
$\therefore $ Coefficient of $x^{n} = n + 1$