The most famous ratio is the golden value. Anyway, this value generated by the famous Fibonacci recurrence Fn+1 = Fn + Fn-1 ,
{0,1,1,2,3,5,8,13,21,....} Fibonacci numbers
that is
lim Fn+1 / Fn = the golden value = (1 +sqrt5)/2
Also, one can see that the following sequence of numbers
Gn+1 = 4Gn - 3Gn-1
{ o,1, 4, 13, 40,....}
converges to the value 3/2,
that is lim Gn+1 / Gn = 3/2
I hope you can connect this sequence with your observations in nature and science.
Regards
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Did not know about that.
Step-by-step explanation:
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