Write a program to calculate the individual terms of a mathematical series Swhose formula is given a using a for loop.

$S={\displaystyle \underset{k=1}{\overset{10}{}}}\frac{1}{2}(e^{0\mathrm{.}786k}+sin0\mathrm{.}786k^{-0\mathrm{.}5})$

In the for loop the program should

$($i$)$ Calculate the $k^{th}$ term $(10$pt$)$

$($ii$)$ Display the value of the $k^{th}$ term $(10$pt$)$

$($iii$)$ Calculate the sum of the series to the kth term in the loop and print it $(15$pt$)$

$($iv$)$ At the end of the loop the program should print the final sum $(15$pt$)$

Hint: Use a loop construct, on NOT use arrays for this problem