What is the generating function for the sequence ana_nan satisfying an=5an−1a_n = 5a_{n-1}an=5an−1 with a0=1a_0 = 1a0=1?
A(x)=11−5xA(x) = \frac{1}{1 - 5x}A(x)=1−5x1
A(x)=11+5xA(x) = \frac{1}{1 + 5x}A(x)=1+5x1
A(x)=x1−5xA(x) = \frac{x}{1 - 5x}A(x)=1−5xx
A(x)=1−5xA(x) = 1 - 5xA(x)=1−5x