The sum of \[n\] terms of the following series \[1+(1+x)+(1+x+{{x}^{2}})+..........\]will be [IIT 1962]

\[\frac{n(1-x)-x(1-{{x}^{n}})}{{{(1-x)}^{2}}}\]

The sum of \[n\] terms of the following series \[1+(1+x)+(1+x+{{x}^{2}

1.	The sum of \[n\] terms of the following series \[1+(1+x)+(1+x+{{x}^{2}})+..........\]will be [IIT 1962]
A.	\[\frac{1-{{x}^{n}}}{1-x}\]
B.	\[\frac{x(1-{{x}^{n}})}{1-x}\]
C.	\[\frac{n(1-x)-x(1-{{x}^{n}})}{{{(1-x)}^{2}}}\]
D.	None of these
Answer» D. None of these

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The sum of \[n\] terms of the following series \[1+(1+x)+(1+x+{{x}^{2}})+..........\]will be [IIT 1962]

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