Using MatLab and with explanation if possible please:

Exercise W1.1 (four different ways to sum). Recall the summation formula n(n+1) i= (W1.1.1) 2 n i=1 Write a code that takes a positive integer n e N as input and outputs the sum of the first n natural numbers (strictly positive integers), using: (a) a for loop; (b) a while loop; (c) a recursive code; (d) in Octave/Matlab or Python using an array (also known as vector, list or finite sequence), the column construct and the built-in function sum . Test your code for n= 10, n=20 and n= 100, against the known result" that you are able to compute from (W1.1.1). Do not forget the special case n=0