a_n = a_{n-1} + a_{n-2},

Fri, 01 May 2026 09:25:44 +0000

Understanding the Fibonacci Sequence: Aₙ = Aₙ₋₁ + Aₙ₋₂ The Fibonacci sequence is one of the most fascinating and widely recognized mathematical patterns, named after the Italian mathematician Leonardo of Pisa, known as Fibonacci, who introduced it in the early 13th century. The sequence is defined recursively by the formula: Aₙ = Aₙ₋₁ + Aₙ₋₂ This simple rule generates a sequence that begins: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, and so on. Beyond its elegant definition, the Fibonacci sequence appears in nature, art, finance, and algorithms, making it a cornerstone of mathematical and computational studies.