# Does this really have a closed form?

Algebra Level 4

$\large 22 \sum_{n=0}^\infty \dfrac{F_n}{4^n}$ Let $$F_n$$ denote the $$n^\text{th}$$ Fibonacci number, where $$F_0 = 0, F_1 = 1$$ and $$F_n = F_{n-1} + F_{n-2}$$ for $$n=2,3,4,\ldots$$.

Compute the expression above.

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