Fibonacci Secrets

How Fibonacci Series is Different from other Number Series?
while answering this question i am having another question in my mind that is how the numbers are related with each others in that number series.if i got the answer for this question then that is the answer for the previous question also.

How the Numbers are related in Fibonacci Series?
The ratios are derived by dividing any number in the series by the next
higher number, after 3 the ratio is always around 0.625.
For Example take 5 and 8 , 5/8 = 0.625
After 89, it is always around 0.618. If you divide any Fibonacci number by the preceding number,
after 2 the number is always around 1.6 and after 144 the number is always around
1.618. These ratios are referred to as the "golden mean."


The Ratios .

1/1=1
2/1=2
3/2=1.5
5/3=1.66
8/5=1.6
13/8=1.625
21/13=1.61538
34/21=1.61538
55/34=1.61764
89/55=1.6181
134/89=1.6179

like that finding the ratios.in this ratios result you are able notice the magic number 1.618 all the results the decimal part will around 1.618.See the image below.

In that Diagram Note this it totally made up of squares.where as overall image is a rectangle.This rectangle, if you measure it, has the magic ratio of 1.618. Also if you look at the curved lines within each of the squares you will notice that these are infact quarter circles, but, as a whole you would be forgiven for thinking that they look like the cross section of a sea shell.
And you'd be right, for this is the same as the growth rate of the beautiful Nautilus Sea Shell