Fibonacci Ratio

Fibonacci Ratio1

Fibonacci Ratio2

 

Graph

 

 

This graph is a visual representation of the Golden Ratio and the Fibonacci sequence ratio. As you can see in the graph above, as the value of random2increases(x axis), the ratio of Random1(y axis) becomes closer and closed to phi(the red line).

As you can see in the chart below, while the Fibonacci numbers involved in the division gets larger, the ratio of the two Fibonacci (As they get larger) becomes closer to Phi (the Golden Ratio). Notice that the absolute value of of the error gets closer to 0 (but never reaches 0).

 

Graph2