Given A(x)=2x(1−x)(1−2x)A(x) = \frac{2x}{(1-x)(1-2x)}A(x)=(1−x)(1−2x)2x, identify the sequence ana_nan.
an=2n+1−2a_n = 2^{n+1} - 2an=2n+1−2
an=2n+1−1a_n = 2^{n+1} - 1an=2n+1−1
an=2n−1a_n = 2^n - 1an=2n−1
an=2n+1+1a_n = 2^{n+1} + 1an=2n+1+1