Fibonacci series and golden ratio

  • Thread starter alexk307
  • Start date
  • #1
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I was wondering if someone could explain the fibonacci series and golden ratio to me, I'm very curious, but I don't have that much experience in math as a high school trig student.
 

Answers and Replies

  • #3
57
1
Personally, I liked that [tex]\[\sqrt{1+\sqrt{1+\sqrt{1+\sqrt{1+\cdots}}}}
= \dfrac{1}{1 + \dfrac{1}{1+\frac{1}{1+...}}} = \phi\][/tex] or the golden ratio. Also, note (since phi is defined by those recursive sequences) that [tex]\frac{1}{\phi} = \phi -1[/tex]
 

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