Is 3Fn-Fn-2=Fn+2for n >3n are valid?
3Fn−Fn−2=Fn+2Fn+2=Fn+1+Fn=Fn−1+Fn+Fn=(Fn−Fn−2)+Fn+Fn=3Fn−Fn−2True3F_n-F_{n-2}=F_{n+2}\\F_{n+2}=F_{n+1}+F_n=F_{n-1}+F_n+F_n=\left( F_n-F_{n-2} \right) +F_n+F_n=3F_n-F_{n-2}\\True3Fn−Fn−2=Fn+2Fn+2=Fn+1+Fn=Fn−1+Fn+Fn=(Fn−Fn−2)+Fn+Fn=3Fn−Fn−2True
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