$(25$ points$)$ Question $2$

Consider a scenario where you need to find the sum of all even numbers between $1$ and a given

positive integer $n.$

a$)$ Write pseudocode to solve this problem. Make sure to clearly define the variables and

provide step$-$by$-$step instructions for your algorithm.

b$)$ After writing the pseudocode, analyze the time complexity of each line in terms of the

input size $n.$ Provide a brief explanation for each line's time complexity analysis.

c$)$ Finally, calculate and provide the overall time complexity of your algorithm using big$-$O

notation.