A problem by Anish Roy

Level pending

For any positive integer \(n\), let \(\langle{n}\rangle\) denote the closest integer to \(\sqrt{n}\). Evaluate \[\displaystyle \sum_{n=1}^{\infty} \frac{2^{\langle{n}\rangle}+2^{-\langle{n}\rangle}}{2^{n}}\]

×

Problem Loading...

Note Loading...

Set Loading...