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# 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 mathematician]

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the elements of the sequence of numbers 1, 1, 2, 3, 5, 8, 13, 21, …, each of which, after the second, is the sum of the two previous numbers. These numbers were first noted by the medieval Italian mathematician Leonardo Pisano (“Fibonacci”) in his Liber abaci (1202; “Book of the Abacus”), which also popularized Hindu-Arabic numerals (numeral system) and the decimal number system in Europe. For information on the interesting properties and uses of the Fibonacci numbers see number games: Fibonacci numbers (number game).

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Universalium. 2010.

### Look at other dictionaries:

• Fibonacci Numbers —    A number sequence discovered by a thirteenth century Italian mathematician Leonardo Fibonacci in which the sum of any two consecutive numbers equals the next highest number. The ratio of any number to its next highest number approaches 0.618… …   Financial and business terms

• 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… …   Useful english dictionary

• Fibonacci numbers — infinite series of numbers in which every member is the sum of the two preceding numbers when the first two numbers are 0 and 1 (named after an Italian mathematician) …   English contemporary dictionary

• Fibonacci numbers — Fi•bo•nac′ci num bers [[t]ˌfi boʊˈnɑ tʃi[/t]] n. pl. math. the unending sequence 1, 1, 2, 3, 5, 8, 13, 21, … where each term is defined as the sum of its two predecessors. Also called Fibonac′ci se quence • Etymology: 1890–95; after Leonardo… …   From formal English to slang

• 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 Numbers/Lines — Leonardo Fibonacci was an Italian mathematician born in the 12th century. He is known to have discovered the Fibonacci numbers, which are a sequence of numbers where each successive number is the sum of the two previous numbers. e.g. 1, 1, 2, 3,… …   Investment dictionary

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• Generalizations of Fibonacci numbers — In mathematics, the Fibonacci numbers form a sequence defined recursively by:: F (0) = 0: F (1) = 1: F ( n ) = F ( n 1) + F ( n 2), for integer n > 1.That is, after two starting values, each number is the sum of the two preceding numbers.The… …   Wikipedia

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

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