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Fibonacci series and golden ratio

  1. Oct 30, 2008 #1
    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.
  2. jcsd
  3. Oct 31, 2008 #2
  4. Nov 1, 2008 #3
    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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