Write your Python code to approximate the Golden Ratio by using this formula:
\(\phi_{n+1}=1+\frac{1}{\phi_n} \text{ and } \phi_0=1\)
a) Program the codes and prints the result after 20 iterations using the iteration method.
b) Program the codes by calling a function recursively. Print the result after calling the function
20 times.
please help!!! any help is appreciated!!! :)
Part a: This is NOT in Python, but use as a guide:
i=1; g=(2#5)/2; g=1/g + 1; printg;i++;if(i<=20, goto2, 0)
PRINT 20 ITERATIONS:
1.894427191
1.527864045
1.654508497
1.604409105
1.623282426
1.616035746
1.618798193
1.617742226
1.618145452
1.617991416
1.61805025
1.618027777
1.618036361
1.618033083
1.618034335
1.618033857
1.618034039
1.618033969
1.618033996
1.618033986
I believe StackOverflow would be much more useful.
I don't do python normally, usually Java, C/C++, HTML, stuff like that.
I never studied the Golden Ratio so idk how it works but you might want something like this
for i in range(1,20):
(content)
Idk.