The sum of the series $1 + 3x + 5x^2 + 7x^3+ ....+(2n-1)x^{n-1} + ...$ is:

Question

( A ) $\frac{(1+x)^2}{1-x}$
( B ) $(\frac{1+x}{1-x})^2$
( C ) $\frac{1+x}{1-x}$
( D ) $\frac{1+x}{(1-x)^2}$