Write a while loop in pseudocode that sums all the numbers from $1$ to $5\mathrm{.}2.$ Write a for loop sums all the numbers from $1$ to $5\mathrm{.}3.$ Write a loop of your choice that sums only the even numbers from $1-10\mathrm{.}4.$ Write a loop that sums all the numbers from $1$ to n$,$ where n is a value given to you by the user$\mathrm{.}5.$ Write a loop that sums all the numbers from n down to $1,$ where n is a value given to you by the user. You may assume n $>1\mathrm{.}6.$ Write a loop that calculates n$!($n factorial, ex: $4!=1$x$2$x$3$x$4)$ where n is a value given to you by the user. You may assume n $>0\mathrm{.}7.$ Write a loop that sums all the numbers from m to n$,$ where m and n are both user given values. You may assume m$>$n$.$