Fibonacci's Fourth Power Is Fire

Number Theory Level 2

For integers n≥2n\geq 2, evaluate Fn4−Fn−2Fn−1Fn+1Fn+2.\large F^{4}_{n}-F_{n-2}F_{n-1}F_{n+1}F_{n+2} . Notation

FnF_{n} denotes the nthn^\text{th} Fibonacci number.

Rohit Udaiwal by Rohit Udaiwal
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