Fibonacci Numbers

The Fibonacci sequence, which is strongly related to the golden ratio, is defined as:

$F_0=0,F_1=1,$

and

$F_n=F_{n-1}+F_{n-2}$

for cases where $n>1.$ Strictly greater than one? Yes, the cases of $n=0$ and $n=1$ are defined for us above.

The first few numbers in this sequence are provided here, just for context:

$0,1,1,2,3,5,8,13,21,34,$dots

Using a for loop, calculate the first $27$ numbers in the Fibonacci sequence.

Next, calculate the ratio between each of the numbers in the sequence. The ratio can be defined as:

$R_n=\frac{F_{n-1}}{F_n}$

As a hint for each of these challenges, ask yourself, do you start with $1$ and go to $27?$ Or is it maybe something else that you need to start at$,$ or end at$?$

The following section is not for points: Finally, plot both the sequence and the ratio against the iteration number.

Meaning, the $20$th lerm $(x)$ against the $20$th Fibonacci number $(y).$

And, the $21st$ term $(x)$ against the $20$th ratio $($y$).($ypu aren't being tested on this plot this time, but it's good to figure this out for when you will be assessed on it$)$

Looking at your plot, where does it look like the ratio has stabilized? Where does the ratio stop changing much?