Series with Exponentials and Rationals
Algebra
Compute the exact value of: $$\sum_{n=1}^\infty \frac{2^{n+1}}{8\cdot 4^n - 6\cdot 2^n + 1} $$The answer is in the form $\frac{\alpha}{\beta}$ where $\alpha$ and $\beta$ are coprime integers. Input the value of $\alpha+\beta$