Need help figuring out how to code these into Mathematica system.

2. Write a program that computes the sum of the integers from 1 up to and including n. Compare the result with the famous formula +) 3. Consider the function n(n+1 with vo 10 and g-9.8. Use n+1 uniformly spaced t values through- out the interval [0, 2v0/9 (a) Use a for loop to produce a table of t and y(t) values. (b) Use a while loop to produce the same table. Hint Because of potential round-off errors, you may need to adjust the upper limit of the while loop to ensure that the last point (t-2vo/g,y 0) is included. Your program should work for any positive integer n