Fibonacci Number – Where do 0.618 and 1.618 come from?

Fibonacci Sequence

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610…..

Division

  • 2/3 = 0.666
  • 3/2 = 1.5
  • 3/5 =0.6
  • 5/3 =1.667
  • 5/8 =0.625
  • 8/ 5 =1.6
  • 8 /13 =0.615
  • 13/8 = 1.625
  • 13/21 = 0.619
  • 21/13 = 1.615
  • 21/34 = 0.618
  • 34/21 = 1.619
  • 34/55 = 0.618
  • 55/34 = 1.618
  • 55/89 =0.618
  • 89/55 =1.618
  • 89/144 =0.618
  • 144/89 =1.618
  • 144/233 = 0.618
  • 233/144 =1.618
  • 377/233 = 1.618
  • 377/610 = 0.618

When two adjacent Fibonacci numbers get larger, the results of the division converge to 0.618 and 1.618. This is amazing and Leonardo Fibonacci was able to decode this Divine Numbers.

If you are still a bit lost (I was lost too initially!), check out my subsequent posts on how this Fibonacci Sequence is embedded in our universe. In short, Fibonacci sequence is everywhere and even INSIDE your body! Start figuring out where can you find your Fibonacci sequence in your body…. answers to be found in next post!

This Post Has 2 Comments

  1. Boon Kheng

    Hi M,

    Found your answer was wrong for 144/233 & 377/610.
    Both should be 0.618 instead of 0.168… 🙂
    Thanks

  2. Marubozu

    Thanks for pointing out the typo error. Have corrected.

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