
In this
example we use digits from the year 1997 to generate our starting numbers. A = 19 B = 97 You can use any two numbers and still generate the same answers at the bottom of the page 

A  +  B  =  C  
19  +  97  =  116  
B  +  C  =  D  
97  +  116  =  213  
C  +  D  =  E  
116  +  213  =  329  
D  +  E  =  F  
213  +  329  =  542  
E  +  F  =  G  
329  +  542  =  871  
F  +  G  =  H  
542  +  871  =  1413  
G  +  H  =  I  
871  +  1413  =  2284  
H  +  I  =  J  
1413  +  2284  =  3697  
I  +  J  =  K  
2284  +  3697  =  5981  
J  +  K  =  L  
3697  +  5981  =  9678  
K  +  L  =  and so on  
K  ÷  L  =  approaching 0.61803 

5981  ÷  9678  =  0.61799  approaches from below 
L  ÷  K  =  approaching 1.61803 

9678  ÷  5981  =  1.61812  approaches from above 
If you now take the addition to the next iteration you will see that the approaches flip flop their directions.  
L  ÷  M  =  approaching .61803 

9687  ÷  15659  =  0.61862  approaches from above 
M  ÷  L  =  approaching 1.61803 

15659  ÷  9678  =  1.61799  approaches from below 
back
to What is Golden 

Links to Golden Proportion resources on the web  
Mathsoftmathematical
proofs University of Surreygreat starting placegood background on Fibonacci Dan WitterSacred Geometrythis site is way, way out there on the cosmic fringe. These are just a few links about the Golden Proportion and it's incredible power in all of nature. Next time you look at a pine cone, a seashell or a satellite picture of an hurricane you make find yourself looking again. Even watching water spiral down the kitchen sink takes on a new meaning. 
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