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It can be seen from this that successive ratios underestimate and overestimate the ratio, and the convergence is quite rapid.
 
It can be seen from this that successive ratios underestimate and overestimate the ratio, and the convergence is quite rapid.
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For more on the sequnce, see:  http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/fibnat.html
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==The golden ratio in art==
 
==The golden ratio in art==
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