# More fun in 2015, Part 16

Algebra Level 5

$\sum_{n=0}^{\infty}\frac{F_n}{2015^n}$ Find the sum above, where $F_n$ is the Fibonacci sequence. Write the sum in the form $\frac{a}{b}$, where $a>0$ and $b>0$ are co-prime. Make $a$ your answer.

Note: $F_0 = 0, F_1 = 1$.

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