Solve for F_n
F_{n}=\frac{2\sin(n)+Fn+2}{2}
\left(n<0\text{ or }F\geq -\frac{2\left(3\sin(n)-2\right)}{n}\right)\text{ and }\left(n>0\text{ or }F\leq -\frac{2\left(3\sin(n)-2\right)}{n}\right)\text{ and }n\neq 0
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