﻿

# Fibonacci sequence

In mathematics, a sequence of numbers with surprisingly useful applications in botany and other natural sciences.

Beginning with two 1's, each new term is generated as the sum of the previous two: 1, 1, 2, 3, 5, 8, 13, . . . . The 13th-century mathematician Leonardo of Pisa (с 1170–after 1240), also known as Fibonacci, discovered the sequence but did not explore its uses, which have turned out to be wide and various. For example, the number of petals in most types of flowers and numbers involved in branching and seed-formation patterns come from the Fibonacci sequence. The ratio of any two successive terms approaches the value of the golden ratio as the terms become large.

* * *

Universalium. 2010.

### Look at other dictionaries:

• Fibonacci sequence — noun a sequence of numbers in which each number equals the sum of the two preceding numbers • Hypernyms: ↑sequence * * * noun or fibonacci series Usage: usually capitalized F : the mathematical sequence consisting of the Fibonacci numbers …   Useful english dictionary

• Fibonacci sequence — /fɪbəˈnatʃi sikwəns/ (say fibuh nahchee seekwuhns) noun an infinite numerical sequence beginning 0,1,1,2,3,5,… in which each number (Fibonacci number), apart from the first two, is the sum of the previous two numbers. Also, Fibonacci series.… …   Australian English dictionary

• Fibonacci sequence — noun A sequence of numbers such that each number is the sum of the preceding two numbers See Also: Fibonacci number …   Wiktionary

• Fibonacci sequence or Fibonacci numbers —    In their simplest form, a sequence of numbers 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 337, 610, 987, 1597, 2584, 4181, 6765, etc., in which each successive number is equal to the sum of the two preceding numbers. The fractional version …   Glossary of Art Terms

• Fibonacci (darts) — Fibonacci is a dart game that uses the standard 20 number dartboard with the treble and double rings. GameplayFibonacci is typically played between 2, 3 or 4 players, or teams of players, although the rules do not discount more players. The goal… …   Wikipedia

• Fibonacci number — A tiling with squares whose sides are successive Fibonacci numbers in length …   Wikipedia

• Fibonacci numbers in popular culture — The Fibonacci numbers form a sequence of integers, mathematically defined by: ,F(0) = 0; F(1) = 1; F(n) = F(n 1) + F(n 2) mbox{ for } n > 1.So after the two initial numbers, each number is the sum of the two preceding numbers:: ,0, 1, 1, 2, 3, 5 …   Wikipedia

• Fibonacci — Infobox Scientist box width = 300px name = Leonardo of Pisa (Fibonacci) image width = 150px caption = Leonardo of Pisa, Fibonacci birth date = c. 1170 birth place = Pisa, Italy death date = c. 1250 death place = Pisa, Italy residence = Italy… …   Wikipedia

• Fibonacci word — The Fibonacci word is a specific infinite sequence of binary digits (or symbols from any two letter alphabet). Definition Let S 0 be 0 and S 1 be 01 . Now S n = S {n 1}S {n 2} (the concatenation of the previous sequence and the one before that).… …   Wikipedia

• Fibonacci numbers — /fee boh nah chee/, Math. the unending sequence 1, 1, 2, 3, 5, 8, 13, 21, 34, ... where each term is defined as the sum of its two predecessors. Also called Fibonacci sequence. [1890 95; after Leonardo Fibonacci, 13th century Italian… …   Universalium