Fibonacci Number


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Fibonacci number

[¦fib·ə¦nä·chē ′nəm·bər]
(mathematics)
A number in the Fibonacci sequence whose first two terms are f1= f2= 1.

Fibonacci Number

 

any term in the recursive number sequence 1, 1, 2, 3, 5, 8,.... In this sequence, which is called a Fibonacci sequence, each term, after the second, is the sum of the two previous terms. Fibonacci numbers are named for the medieval mathematician Leonardo Fibonacci.

REFERENCE

Vorob’ev, N. N. Chisla Fibonachchi, 3rd ed. Moscow, 1969.
References in periodicals archive ?
Shiokawa, Transcendence of RogersRamanujan continued fraction and reciprocal sums of Fibonacci numbers, Proc.
Iterations of Fibonacci Number Ratios Converging to the Golden Mean 1 1.
E List the first twenty Fibonacci numbers in order.
where [F.sub.n] is the n-th Fibonacci number, [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII.], and [L.sub.n] is the n-th Lucas number, [L.sub.n] = [[psi].sup.n] + [(1 - [psi]).sup.n].
Given the first two values, it is well known that this relationship defines the Fibonacci numbers. QED
Li, On the Fibonacci Numbers of trees, Fibonacci Quart., 44(2006), 32-38.
The teacher showed the students how to create the Fibonacci numbers. They entered 1 in cell A1 and 1 in cell A2.
Fibonacci numbers come up surprisingly often in nature, from the number of petals in various flowers to the number of scales along a spiral row in a pine cone.
Santos has so far authored four books, all of which were bought by the Bank of Spain for use by their traders, based on the patterns of Elliott Wave Theory and Fibonacci numbers. These models focus on human psychology and predictable behavioral patterns.
Although he is most famous for the Fibonacci numbers -- which, it so happens, he didn't invent -- Fibonacci's greatest contribution was as an expositor of mathematical ideas at a level ordinary people could understand.
The activities cover numbers as geometric shapes, combinatorics, Fibonacci numbers, Pascal's triangle, area, and selected warmup and challenging problems.