2006 iTest Problems/Problem 25
Revision as of 19:20, 1 December 2018 by Rockmanex3 (talk | contribs) (Solution to Problem 25 -- Simplify Quotient of Sums)
Problem
The expression reduces to , where and are relatively prime positive integers. Find .
Solution
The sum of integers from to is , the sum of squares of integers from to is , and the sum of cubes of integers from to is . By applying the formulas, we can simplify the expression and reduce common factors. Thus, .
See Also
2006 iTest (Problems) | ||
Preceded by: Problem 24 |
Followed by: Problem 26 | |
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