# How does the golden ratio relate to the Fibonacci sequence?

##### 1 Answer

The ratio between successive terms of the Fibonacci sequence tends towards

#### Explanation:

If you take two consecutive terms in the Fibonacci Sequence, or indeed any given sequence, and divide one of the terms by the one that comes before it, then you get a number that will get closer and closer to

An example is the division

In addition, there is a direct formula for

#F_n = (phi^n-(-phi)^-n)/sqrt(5)#