# Telescope Summation

Algebra Level 4

$\sum_{n=1}^{20} \dfrac{8n}{4n^4+1}= \dfrac85 + \dfrac{16}{65} + \dfrac{24}{325} + \cdots + \dfrac{160}{640001}$

Let $$x$$ denote the value of the summation above. Find $$841x$$.

×