Consider a mathematical scquence defined by the recurrence relation:

$S_n=\{\begin{array}{ccc}7*\frac{n^2}{1}+3& ifnis\text{e}\text{v}\text{e}\text{n}& \\ 5*\frac{n-1}{2}+1& ifnis\text{o}\text{d}\text{d}& \end{array}$

$n$ is the itcration 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 $1,$ then report "Term $1$: $1\mathrm{.}00".$

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 cxample, if the $n$ you find is $24,$ then report "The minimum value of $n$ is $24,$ and S$24={1011\mathrm{.}00}^n.$