What is the Fibonacci sequence? The Fibonacci sequence is a series of numbers where each is the sum of the two preceding ones, typically starting with 0 and 1. The sequence begins as follows: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, ... Mathematically, the Fibonacci sequence is defined recursively as: F(0) = 0 , F(1) = 1 F(n) = F(n-1) + F(n-2) for n ≥ 2 Each number in this series is called a "Fibonacci number." Origin and History The Fibonacci sequence is named after the Italian mathematician Leonardo of Pisa , also known as Fibonacci. In his 1202 book Liber Abaci (The Book of Calculation), he introduced this sequence to Western mathematics, which popularized European Hindu-Arabic numerals. Fibonacci used the sequence to describe the growth of rabbit populations over time under ideal conditions. While Fibonacci is credited with popularizing the sequence, its origins date back much earlier. Variations of the sequence were known to Indian mathematicians as early as the 6th cen...