Successive quotients of Fibonacci Numbers

The Golden Ratio is often denoted by the : . Its exact value is 1+52which is approximately equal to 1.618.

In this chapter, we saw how successive quotients of the Fibonacci Numbers get closer and closer to the Golden Ratio:

1/1=1, 2/1=2, 3/2=1.5, 5/3=1.67, 8/5=1.6, 13/8=1.625, 12/13=1.615, …

Many people believe that the Golden Ratio, Golden Rectangles, and the Fibonacci Numbers “appear” in the real world in places such as:

  • Art
  • Architecture
  • Nature

Please research at least one example of such an “appearance” in art, architecture, nature, or someplace else in the real world and post your findings.


Participation in Discussion Boards is a required part of this class (5% of your ).

The requirements for this graded Discussion Board are:

  • Your initial post is due by the 3rd day of the Discussion Board and must contain at least 100 words.
  • You must respond to at least two classmates, and your response posts must contain at least 50 words.
  • Please answer any questions posed in the instructor’s response to your post(s).
  • All posts should be relevant to the week’s topic(s) and should include substantive, .
  • All posts should be grammatically correct – please use Spellcheck as necessary.
  • Please use APA citation format if you get help from another source (our textbook, another book, a website, etc.). Try to use your own words!
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