Evaluate the Geometric Series $1-\frac{1}{4}+\frac{1}{16}-\frac{1}{64}+\cdots+\frac{1}{4^{66}}-\frac{1}{4^{67}}+\frac{1}{4^{68}}$ A) $\frac{4^{69}+1}{5 \cdot 4^{68}}$

Evaluate the geometric series. $1-\frac{1}{4}+\frac{1}{16}-\frac{1}{64}+\cdots+\frac{1}{4^{66}}-\frac{1}{4^{67}}+\frac{1}{4^{68}}$

A) $\frac{4^{69}+1}{5 \cdot 4^{68}}$
B) $\frac{4^{69}+1}{4^{68}}$
C) $\frac{4^{68}+1}{5 \cdot 4^{67}}$
D) $\frac{4^{68}+1}{4^{67}}$