# A discrete mathematics problem by Santiago Hincapie

$\large{ \sum _{ n=1 }^{ \infty }{ \frac { F_{ n } }{ { x }^{ n } } =\frac { x }{ 505 } } }$

Find the value of $$x, \ x > 0$$ such that the above equation satisfies where $$F_n$$ denotes the $$n^{\text{th}}$$ Fibonacci number.

×