$[10$ points$]$ Write a Python code to display the Up$-$down sequencing of numbers generated when the initial number considered is a two$-$digit number $83.$

$[10$ points$]$ Write a Python code to compute the square root and cube root of the number $83$ using Guess and Check method. $[$Note: Use a SENTINEL while loop to write this code$]$

$[10$ points$]$ Write a Python code to draw $($a$)$ a pentagon $($b$)$ a hexagon.

$[10$ points$]$ Write a Python code to generate the Golden ratio in the generation of the first $20$ Fibonacci numbers. $[$Note: The first two Fibonacci numbers are $0,1]$