The Fibonacci Series
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|Matt Anderson, Jeffrey Frazier, and Kris Popendorf; ThinkQuest 1999|
|The Fibonacci Series is deceptively simple, but its ramifications and applications are many. Learn more about the Fibonacci Series itself: an introduction, the rabbit problem, Binet's formula, the successor formula (given only one term in the Fibonacci series, determine the term that directly follows it), binomial form, Fibonacci spiral. See how the Fibonacci Series relates to the golden ratio: the golden rectangle, the golden ratio, the golden spiral. Explore applications of the Fibonacci series: Fibonacci ratios, Binet revisited, one over eighty-nine (examining the decimal expansion of 1/89), apartment buildings (an explanation of why the number of combinations for each set of a certain group of apartment buildings is a Fibonacci number), nature, Leonardo da Vinci. Learn about the lives of Fibonacci and other important mathematicians: Leonardo Fibonacci, Édouard Lucas, Jacques Binet, Jordanus Nemorarius. A quiz is available for each of the four main sections of the site; an index organizes all of the site's Shockwave Flash demonstrations; and the authors also provide further reading, a bibliography, and documentation on the site's development. Much of the site's content is available in streaming Real Audio narration.|
|Levels:||Elementary, Middle School (6-8), High School (9-12), College|
|Resource Types:||Audiovisuals, Audio, Graphics, Multimedia, Video, Problems/Puzzles, Bibliographies|
|Math Topics:||Golden Ratio/Fibonacci, Number Theory|
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