Difference between revisions of "Limit of quotient of consecutive Fibonacci numbers"
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Revision as of 23:29, 27 June 2016
Theorem
The following formula holds: $$\displaystyle\lim_{n \rightarrow \infty} \dfrac{F_{n+1}}{F_n}=\phi,$$ where $F_n$ denotes the Fibonacci sequence and $\phi$ denotes the golden ratio.
