Problem #2
Algebra
Level
2
The product of a set of consecutive integers is 720. If the mean is 3.5, what is the sum of the integers?
The answer is 21.
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Since mean is 3.5, the two middle terms are 3 and 4, and these are even numbers. four numbers would be 2,3,4,5. But there product is less than 720. So we try six terms. 1,2,3,4,5,6 and this is 6!=720.
So the total is 3.5 * 6= 21, 2 1