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From the relation 1+x+x^(2)+* * * + x^(...

From the relation `1+x+x^(2)+* * * + x^(n-1)=(1-x^(n))/(1-x)` , find the sum of the series `1+2x+3x^(2)+* * * +(n-1)x^(n-2)` .

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The correct Answer is:
`(1-nx^(n-1)+(n-1)x^(n))/((1-x)^(2))`
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