Fibonacci Formula (VIDEO!)

The sequence of Fibonacci numbers begins 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, ….
What’s the 100th Fibonacci number? What is the 587th Fibonacci number? Is there a general formula for the Nth Fibonacci number? YES!

In this video we use the quadratic formula, some basic properties of exponents, and a tiny system of equations to derive a general formula for the Fibonacci numbers. (WARNING: This is a little advanced and assumes one is familiar with these concepts and able to fill in details on one’s own.)

Fibonacci Formula_VIDEO

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  Written for educators - and their students too! - this website, slowly growing, takes all the content Tanton has developed in his books, videos, and workshops, and organizes it into short, self-contained, and complete, curriculum units proving that mathematics, at all points of the school curriculum, can be joyous, fresh, innovative, rich, deep-thinking, and devoid of any rote doing! Let's teach generations of students to be self-reliant thinkers, willing to flail and to use their common sense to "nut their way" through challenges, to assess and judge results, and to adjust actions to find success. (Great life skills!)

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• Books

  • Thinking Mathematics! (TEN VOLUMES)
  • Solve This: Mathematical Activities for Students and Clubs
  • Encyclopedia of Mathematics
  • Geometry I & II

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  Email: tanton.math@gmail.com