Friday, March 18, 2016

summation - What is the sum of the series $x^{n-1} + 2x^{n-2} + 3x^{n-3} + 4x^{n-4} + cdots + nx^{n-n}$?

$x^{n-1} + 2x^{n-2} + 3x^{n-3} + 4x^{n-4} + \cdots + nx^{n-n}$




I'm not sure if this can even be summed. Any help is appreciated.

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