# Fibonacci sequence

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Related to Fibonacci sequence: Golden ratio, Pascal's triangle

## Fibonacci sequence

n.
The sequence of numbers, 1, 1, 2, 3, 5, 8, 13, ... , in which each successive number is equal to the sum of the two preceding numbers.

[After Leonardo Fibonacci (died c. 1250), Italian mathematician.]

## Fibonacci sequence

(ˌfɪbəˈnɑːtʃɪ) or

## Fibonacci series

n
(Mathematics) the infinite sequence of numbers, 0, 1, 1, 2, 3, 5, 8, etc, in which each member (Fibonacci number) is the sum of the previous two
[named after Leonardo Fibonacci]
Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014

## Fibonacci sequence

The sequence of numbers, 1, 1, 2, 3, 5, 8, 13, ... , in which each successive number is equal to the sum of the two preceding numbers. Many shapes occurring in nature, such as certain spirals, have proportions that can be described in terms of the Fibonacci sequence.
ThesaurusAntonymsRelated WordsSynonymsLegend:
 Noun 1 Fibonacci sequence - a sequence of numbers in which each number equals the sum of the two preceding numberssequence - serial arrangement in which things follow in logical order or a recurrent pattern; "the sequence of names was alphabetical"; "he invented a technique to determine the sequence of base pairs in DNA"
Based on WordNet 3.0, Farlex clipart collection. © 2003-2012 Princeton University, Farlex Inc.
Translations
Fibonacciho posloupnost
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References in periodicals archive ?
While Max is plugging away at identifying the patterns buried within the stock market (or, per his example, 'the wax and wane of caribou populations'), the film itself is densely populated with numerical patterns - the most prominent being the Fibonacci sequence and its associated golden ratio.
The curriculum for the 2019-20 school year will focus on a creative exploration of the Fibonacci sequence and spiral as it is seen in nature and math.
Among their topics are hypercubes and the generalized Cohn cycle, the Fibonacci sequence as metric suspension in Luigi Nono's Il Canto Sospeso, one note samba: navigating notes and their meanings within modes and exo-modes, theoretical physics and category theory as tools for analyzing musical performance and composition, and examining fixed and relative similarity metrics through jazz melodies.
To this is added the mathematical complexity of the Fibonacci sequence where each number is the sum of the previous two digits.
And do you remember the Fibonacci sequence from school?
We denote the n-th term of the Fibonacci sequence by [F.sub.n] and the Binet form of [F.sub.n] is [[alpha].sup.n] - [[beta].sup.n]/[alpha] - [beta], where [alpha] = 1 + [square root of 5]/2 and [beta] = 1 - [square root of 5]/2.
where [x.sub.0] = a, [x.sub.-1] = b, [x.sub.-2] = c, [y.sub.0] = d, [y.sub.-1] = e, [y.sub.-2] = f and where fn is the Fibonacci Sequence with [f.sub.-2] = 1, [f.sub.-1] = 0.
For such a case, considering its simple operation, a modified type of Fibonacci sequence is used in our key generation algorithm.
Variable Fibonacci sequence. We now introduce a variable block size based on a Fibonacci sequence.
where [([f.sub.n]).sub.n[member of]N] is the Fibonacci sequence defined by [f.sub.n+2] = [f.sub.n+1] + [f.sub.n], [f.sub.1] = [f.sub.2] = 1.
Tying the Fibonacci sequence to patterns in nature, making leaf gradients, snow painting, practicing with a compass, map reading, and other creative ways to work together skillfully demonstrate how a simple picnic can become an anticipated event.
A Lucas sequence is a generalisation of the Fibonacci sequence. In this case

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