$2.$ Determine the number of times the iterations are executed in the following code segment. Print the number of iterations for a user$-$defined value of n and verify that number by computing the function that describes the same number theoretically. Explain your reasoning.

for $($int i $=0$; i $<$ n; i $+=2)$

for $($int j $=1$; j $<2*$ n; j $*=2)$

count$++$;