Give an asymptotic estimate for the number h$($n$)$ of $$Hello$$s printed by Algorithm Print$-$

Hellos below. Your solution must consist of the following steps:

$($a$)$ First express h$($n$)$ using the summation notation $.$

$($b$)$ Next, give a closed$-$form expression$1$ for h$($n$).$

$($c$)$ Finally, give the asymptotic value of h$($n$)$ using the $\backslash$Theta $-$notation