Posts Tagged ‘fibonaci sequence’

Understanding The Fibonacci Sequence

Thursday, December 4th, 2008

The Fibonacci sequence is numbers that are named after a man known as Fibonacci, Leonardo of Pisa. The Fibonacci numbers were introduced in his book Liber Abaci. The sequence is considered Western European math, but some have described the sequence as being Indian math. The math sequence starts with 0 and is followed by 1. Each number after the previous number is the sum equal to the previous two numbers. For instance, 0 plus 1 equals 1, 1 plus 1 equals 2, 1 plus 2 equal three and so forth.

The Fibonacci sequence of numbers is crucial in the run time analysis for Euclid’s algorithm in order to find the greatest common divisor of any two integers. The algorithm is in fact a pair of Fibonacci numbers consecutively. The pseudorandom number generators use the number sequence and are found in the analysis of the Fibonacci data structure. The sequence of Fibonacci numbers is also used in music to determine tuning. It is also used in visual art to determine the size and length of formal or content elements.

Overall, the Fibonacci sequence of numbers is used for everything. It is used in nature and for the description of the population reproduction of bees

Here is a reference: