5. Write a program that adds up the squares and adds up the cubes of integers from 1 to N, where N is entered by the user:

Upper Limit: 5
The sum of Squares is 55
The sum of Cubes is 225
Do this by using just one loop that generates the integers. Of course, if you really needed to calculate these sums you would use the appropriate formulas:
12 + 22 + 32 + ... + n2 = n(n+1)(2n+1)/6
13 + 23 + 33 + ... + n3 = n2(n+1)2/4
Add these formulas to your program and print out their results as well as that of the explicit summations.

The problem practically gives away what you need to do. Have you been to class at all? Taken any notes? All you need is a simple (very simple) loop, a few counters, and the basic math knowledge to perform squares and cubes. Oh, and some form of getting input (also quite simple!).

commented: Makes you wonder what problems 1 to 4 were, since this is apparently #5 +29
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