The Fibonacci Sequence Is a Sequence Whose First Two Terms $f_{1}=1$

Essay

The Fibonacci sequence is a sequence whose first two terms are $f_{1}=1$ and $f_{2}=1$ , and all other terms are the sum of the two preceding terms. The terms of the Fibonacci sequence are often referred to as Fibonacci numbers.
-One interesting fact about the Fibonacci numbers is that for any $n \geq 3$ ,
$2 \cdot f_{n}-f_{n+1}=f_{n}-2$ . Select a Fibonacci number, and verify this fact.