# Fibonacci Numbers

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## Fibonacci Numbers

A sequence of numbers in which each number is the sum of the two previous numbers (1, 1, 2 and so on). Some technical analysts use Fibonacci numbers to determine which securities are bullish or bearish. Some of the ways they use Fibonacci numbers are Fibonacci time zones, Fibonacci retracement, Fibonacci fans, and Fibonacci arcs.
References in periodicals archive ?
We know that Fibonacci numbers grow exponentially and also [F.sub.n] [greater than or equal to] [[alpha].sup.n].
Much of the time used to prepare this article was spent learning to use Maple through the Fibonacci number and logistic formula examples.
The Fibonacci numbers are the numbers generated in a sequence when you start with 1, 1, then add the two previous numbers to get the next in the sequence e.g., 1, 1, 1 + 1 = 2, 1 + 2 = 3, 2 + 3 = 5, ...
Sun, Fibonacci numbers and Fermat's last theorem, Acta Arith.
An injective function f: V(G) [right arrow] {[F.sub.0], [F.sub.1],[F.sub.2], ..., [F.sub.q-i], [F.sub.q+i]}, where [F.sub.q+i] is the (q + 1)th fibonacci number, is said to be almost super fibonacci graceful if the induced edge labeling [f.sup.*](uv) = |f (u) = f (v)| is a bijection onto the set {[F.sub.1], [F.sub.2], ..., [F.sub.q]}.
where [F.sup.n] is the n-th Fibonacci number, [F.sub.n] = [[psi].sup.n] - (1 - [[psi].sup.n]/[square root of 5].
The number of ways to group n digits into singletons and pairs is [F.sub.n+1], where [F.sub.n] is the nth Fibonacci number.
Tichy Fibonacci numbers of graphs, The Fibonacci Quarterly, 20(1982), No.1, 16-21.
After a few weeks of guided exploration, many children can, with just a few minutes of effort, set up a spreadsheet to list the Fibonacci numbers. They can also program spreadsheets to generate odd and even numbers, a multiplication table, squares, square roots, and exponential growth.
Tichy, Fibonacci numbers of graphs, The Fibonacci Quarterly 20(1982), N0.1, 16-21.
The hundredth Fibonacci number, for example, is roughly equal to the hundredth power of the golden ratio.
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