Fibonacci sequence

== English == === Alternative forms === Fibonacci's sequence === Etymology === Named after the Italian mathematician later known as Fibonacci (c.1175 – c.1250), who introduced the sequence to a European readership in his 1202 book Liber Abaci. === Noun === Fibonacci sequence (plural Fibonacci sequences) (mathematics) The sequence of integers, each of which is the sum of the preceding two, the first and second numbers both being 1. (mathematics) Any sequence of numbers such that each is the sum of the preceding two. 2007, Anthony Nicolaides, Make The Grade At GCSE Mathematics, Higher Tier, P.A.S.S. Publications, 3rd Edition, page 169, 19. The first two terms of a Fibonacci sequence are a and b. Write out a few terms. ==== Usage notes ==== In modern usage, the sequence is often defined by specifying 0 as the zeroth number and 1 as the first. The notation F ( n ) {\displaystyle F(n)} is often used for the nth number in the sequence. ==== Related terms ==== Fibonacci number Fibonacci spiral ==== Translations ==== === See also === Lucas sequence Tribonacci === Further reading === Golden ratio on Wikipedia.Wikipedia Generalizations of Fibonacci numbers on Wikipedia.Wikipedia Lucas number on Wikipedia.Wikipedia Padovan sequence on Wikipedia.Wikipedia Fibonacci polynomials on Wikipedia.Wikipedia Fibonacci retracement on Wikipedia.Wikipedia