# Fibonacci sum

Calculus Level 4

$\large \sum^{\infty}_{n=1}{\dfrac{F_n}{2^n}}$

Find the sum above, where $$F_n$$ is the $$n^{\text{th}}$$ Fibonacci number that is $$F_0 = 0$$, $$F_1 = 1$$ and $$F_n = F_{n-1} + F_{n-2}$$ for $$n \geq 2$$.

×