Consider a mathematical sequence defined by the recurrence relation:

$S_n=\{\begin{array}{ccc}3*n^2+7& ifnis\text{e}\text{v}\text{e}\text{n}& \\ 11*n& ifnis\text{o}\text{d}\text{d}& \end{array}$

$n$ is the iteration number, $n=1,2,3,$dots,$N.$ Complete the following tasks.

a$)$ For$-$Loop, If$-$Statement

Write a for loop which computes and reports the first $15$ elements of sequence $Sn.$ For instance, if the first element you calculated is $11,$ then report "Term $1$: $11\mathrm{.}00".$

b$)$ While$-$Loop

Write a while loop to find the minimum of $n$ such that $S_n>1000.$ Report the result $n$ you find and the corresponding $S_n.$ For example, if the $n$ you find is $20,$ then report "The minimum value of $n$ is $20,$ and $S20=1207."$ In matlab