The sum of \( n \) terms of the following series \( 1+(1+x)+\left(1+x+x^{2}\right)+\ldots . . \)... VIDEO
The sum of \( n \) terms of the following series \( 1+(1+x)+\left(1+x+x^{2}\right)+\ldots . . \), is
(A) \( \frac{1-x^{n}}{1-x} \)
(B) \( \frac{x\left(1-x^{n}\right)}{1-x} \)
(C) \( \frac{n(1-x)-x\left(1-x^{n}\right)}{(1-x)^{2}} \)
(D) \( \frac{1+x^{n}}{1-x} \)
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