Why is the Golden Ratio Hiding in the Fibonacci Sequence?
The non-recursive formula for Fibonacci numbers
The Fibonacci numbers form one of the most famous integer sequences, known for their close connection to the golden ratio, sunflower spirals, the mating habits of rabbits, and several other things.
Because of its recursive nature, computing the Fibonacci sequence via brute force is computationally expensive.
However, the Fibonacci numbers have a simple and beautiful closed-form expression written in terms of the golden ratio (φ) and the conjugate golden ratio (ψ).
