Answer to Question #327918 in Math for Ann

Question #327918

Is 3Fn-Fn-2=Fn+2for n >3n are valid?

Expert's answer

$3F_n-F_{n-2}=F_{n+2}\\F_{n+2}=F_{n+1}+F_n=F_{n-1}+F_n+F_n=\left( F_n-F_{n-2} \right) +F_n+F_n=3F_n-F_{n-2}\\True$

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