Geometric Series

Find the exact value $$\sum_{n=0}^\infty \left(\left(\frac{1}{4}\right)^{n+2}+ 3^{2n}\cdot 10^{3-n}\right) $$The answer is in the form $\frac{\alpha}{\beta}$ where $\alpha$ and $\beta$ are coprime integers. Input the value of $\alpha+\beta$