Definitions for fibonacci sequence
fi·bonac·ci se·quence

Princeton's WordNetRate this definition:0.0 / 0 votes

1. Fibonacci sequencenoun

   a sequence of numbers in which each number equals the sum of the two preceding numbers

WiktionaryRate this definition:0.0 / 0 votes

1. Fibonacci sequencenoun

   A sequence of numbers such that each number is the sum of the preceding two numbers

WikipediaRate this definition:0.0 / 0 votes

1. fibonacci sequence

   In mathematics, the Fibonacci numbers, commonly denoted Fn , form a sequence, the Fibonacci sequence, in which each number is the sum of the two preceding ones. The sequence commonly starts from 0 and 1, although some authors start the sequence from 1 and 1 or sometimes (as did Fibonacci) from 1 and 2. Starting from 0 and 1, the first few values in the sequence are: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144.The Fibonacci numbers were first described in Indian mathematics, as early as 200 BC in work by Pingala on enumerating possible patterns of Sanskrit poetry formed from syllables of two lengths. They are named after the Italian mathematician Leonardo of Pisa, later known as Fibonacci, who introduced the sequence to Western European mathematics in his 1202 book Liber Abaci.Fibonacci numbers appear unexpectedly often in mathematics, so much so that there is an entire journal dedicated to their study, the Fibonacci Quarterly. Applications of Fibonacci numbers include computer algorithms such as the Fibonacci search technique and the Fibonacci heap data structure, and graphs called Fibonacci cubes used for interconnecting parallel and distributed systems. They also appear in biological settings, such as branching in trees, the arrangement of leaves on a stem, the fruit sprouts of a pineapple, the flowering of an artichoke, an uncurling fern, and the arrangement of a pine cone's bracts. Fibonacci numbers are also strongly related to the golden ratio: Binet's formula expresses the nth Fibonacci number in terms of n and the golden ratio, and implies that the ratio of two consecutive Fibonacci numbers tends to the golden ratio as n increases. Fibonacci numbers are also closely related to Lucas numbers, which obey the same recurrence relation and with the Fibonacci numbers form a complementary pair of Lucas sequences.

ChatGPTRate this definition:0.0 / 0 votes

1. fibonacci sequence

   The Fibonacci sequence is a series of numbers in which each number is the sum of the two preceding ones. It usually starts with 0 and 1. In mathematical terms, the sequence is defined by the recurrence relation Fn = Fn-1 + Fn-2 with seed values F0 = 0 and F1 = 1.

Matched Categories

1. • Sequence

How to pronounce fibonacci sequence?

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Numerology

1. Chaldean Numerology

   The numerical value of fibonacci sequence in Chaldean Numerology is: 1

2. Pythagorean Numerology

   The numerical value of fibonacci sequence in Pythagorean Numerology is: 7

References

1. ^ Princeton's WordNet
   http://wordnetweb.princeton.edu/perl/webwn?s=fibonacci sequence
2. ^ Wiktionary
   https://en.wiktionary.org/wiki/Fibonacci_Sequence
3. ^ Wikipedia
   https://en.wikipedia.org/wiki/Fibonacci_Sequence
4. ^ ChatGPT
   https://chat.openai.com