Fibonacci's Fourth Power Is Fire
Number Theory
Level
2
For integers \(n\geq 2\), evaluate \[\large F^{4}_{n}-F_{n-2}F_{n-1}F_{n+1}F_{n+2} .\] Notation
\(F_{n}\) denotes the \(n^\text{th} \) Fibonacci number.
by
Rohit Udaiwal