An Unlucky Number?
Algebra
Level
4
\[ \large \displaystyle \sum_{n=0}^\infty \frac {2^n}{13^{2^n} + 1} \]
The closed form of the above summation is equals to \(\frac p q \) for coprime positive integers \(p,q\). What is the value of \(p+ q\)?
by
Danny Kills