Deriving Fibonacci Numbers with Binet’s Formula
The Fibonacci sequence is one of the most well-known mathematical sequences, appearing in nature, computer science, art, and finance. Starting with 0 and 1, each new number is the sum of the two preceding ones. Mathematically, the sequence is defined as:F(0) = 0, F(1) = 1, and F(n) = F(n-1) + F(n-2) for n ≥ 2.
While this recursive definition is intuitive, it becomes golden ratio math...