For the following pairs of functions, show that using the formal definition of these terms. Remember: $\backslash$Theta $(2)$ requires you to show $\backslash$Omicron $(2)$ and you must clearly state the values for n$0$ and c$,$ and you should show any work for how you derived$/$verified n$0$ and c$).$

a$.1=$ the sum of all the numbers from $1$ to n also written as f$1=$n$1$ i$=0$ and $2=$ n$^2$

You are not analyzing the $$algorithm to sum the numbers$.$