Let:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]a_{1}=a_{2}=1;a_{n+2}=a_{n+1}+a_{n};n\geq 1 [/tex]

Let [itex]f_{n}[/itex] be the last digit in decimal notation

of Fibonacci number [itex]a_{n}[/itex].

Find:

[tex]\lim_{n\to\infty}\frac{a_{1}+a_{2}+...+a_{n}}{n}[/tex]

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Fibonacci limit

**Physics Forums | Science Articles, Homework Help, Discussion**