# What is the limit of the Fibonacci sequence?

##### 1 Answer

Jan 4, 2015

The Fibonacci sequence is divergent and it's terms tend to infinity.

This fact can be easily seen if you observe that all terms in the Fibonacci sequence are positive and that each term is the sum of the two previous terms, or:

So, every term in the Fibonacci sequence (for

There is, however, and interesting result that tells us that:

where *Golden Ratio *.