1-1-x-n-n-0-n-1-x-n-2-x-2-n-3-x-3-

Question Number 139286 by qaz last updated on 25/Apr/21

\frac{1}{{(1 - x)}^{n}} = ((\begin{matrix} n \\ 0 \end{matrix})) + ((\begin{matrix} n \\ 1 \end{matrix})) x + ((\begin{matrix} n \\ 2 \end{matrix})) x^{2} + ((\begin{matrix} n \\ 3 \end{matrix})) x^{3} + \dots

Commented by mr W last updated on 25/Apr/21

w r o n g!

\frac{1}{{(1 - x)}^{n}}

= (\begin{matrix} n - 1 \\ 0 \end{matrix}) + (\begin{matrix} n \\ 1 \end{matrix}) x + (\begin{matrix} n + 1 \\ 2 \end{matrix}) x^{2} + (\begin{matrix} n + 2 \\ 3 \end{matrix}) x^{3} + \dots

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