Given the generating function A(x)=∑n=0∞anxn=11−2xA(x) = \sum_{n=0}^{\infty} a_n x^n = \frac{1}{1-2x}A(x)=∑n=0∞anxn=1−2x1, what is the value of ana_nan?
an=n2a_n = n^2an=n2
an=2na_n = 2^nan=2n
an=na_n = nan=n
an=2n+1a_n = 2n + 1an=2n+1