Limit of quotient of consecutive Fibonacci numbers
From specialfunctionswiki
Revision as of 23:29, 27 June 2016 by Tom (talk | contribs) (Created page with "==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 $\phi$ deno...")
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.
