Fibonacci sequence


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

Fibonacci sequence

[‚fē·bə′näch·ē ‚sē·kwəns]
(mathematics)
The sequence 1,1,2,3,5,8,13,21, …, or any sequence where each entry is the sum of the two previous entries.

Fibonacci sequence

(mathematics)
The infinite sequence of numbers beginning

1, 1, 2, 3, 5, 8, 13, ...

in which each term is the sum of the two terms preceding it.

The ratio of successive Fibonacci terms tends to the golden ratio, namely (1 + sqrt 5)/2.

References in periodicals archive ?
The Fibonacci sequence is named after Leonardo Fibonacci, an Italian born around 1170 who popularised the concept in the West.
The demonstration of self-affinity is demonstrated as follows: We take a number of the Fibonacci sequence and then divide it as follows below [Talanquer, V: 1996].
If a trend line is too shallow it's not revealing enough and if it's too steep it's too volatile) and mathematical equations such as the Fibonacci sequence, which claims that the magic numbers are 38.
The Fibonacci sequence is closely connected to the "golden ratio" used in art and architecture and turns up frequently in mathematics and nature.
A fibonacci sequence is a sequence of numbers defined by the recurrence relation a(n) = a(n - 1) + a(n - 2) with a(0) = 1 and a(1) = 1.
Here, the installation was flanked on one side by a series of mirrors with vaguely distortive effects, and on the other by six light boxes featuring sound, text, and video that offer an exhaustive account of Balmond's influences, ranging from the Fibonacci sequence to the designs of R.
To express the vast sums involved, he proposed what has become known as the Fibonacci Sequence, in which two successive numbers are added together to produce the next number, as follows: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, etc.
The Fibonacci sequence has been studied extensively and generalized in many ways.
Finally, primality testing is basic to Internet cryptography, so that the theory behind the periods of Fibonacci sequence has ramifications for our everyday lives.
One of these patterns is called the Fibonacci Sequence, developed by Edouard Lucas, in the 19th Century.
Activities such as the Fibonacci sequence, magic squares, and the very popular Sudoku will teach your students problem solving and reasoning while allowing them to practice important math skills based on the National Council of Teachers of Mathematics' (NCTM) Principles for School Mathematics.
Perhaps this is one of the great mysteries of the universe, along with the Fibonacci sequence and why there is only one word for thesaurus.