I need to write a program to find the sum, sum of squares, sum of the cubes, and sum of a certain series shown below for the first n integers, begining with 1 and ending with n = 100.
Summing the first 100 natural numbers:
................................. n(n+1)
1 + 2 + 3 + ..... + n = 
....................................... 2
Sum of squares of the first 100 natural numbers:
...................................... n(n+1)(2n+1)
1² + 2² + 3² + ……. n² = 
.................................................. 6
Sum of cubes of the first 100 natural numbers:
............................................. n² (n + 1)²
1³ + 2³ + 3³ + ……. + n³ = 
.................................................. 4
Another series:
...1........... 1............ 1........................ 1............... n
 +  +  + ..........  = .....
(1 * 2)... (2 * 3).... (3 * 4).............. n*(n+1) ........... n +1
Since all of these series involve summing the same number of terms, do all of the summing inside ONE(1) loop. Compute the formats outside the loop. Use n as a variable in the formulas; do not replace it with 100, because the formulas work for any n and the program should be flexible enough to easily change the number of terms.
