SOLUTION: how many integers represent the sum of two or more members of the set {-4, -3, -2, -1, 0, 1, 2, 3, 4, }?

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Question 1101615: how many integers represent the sum of two or more members of the set {-4, -3, -2, -1, 0, 1, 2, 3, 4, }?
Answer by greenestamps(13198) About Me  (Show Source):
You can put this solution on YOUR website!


The smallest sum you can get is by adding all the negative numbers in the set: %28-4%29%2B%28-3%29%2B%28-2%29%2B%28-1%29+=+-10

The largest sum you can get is by adding all the positive numbers: 1%2B2%2B3%2B4+=+10.

It should be easy to see that you can get an integer sum of any of the integers between those minimum and maximum sums.

So the number of different integer sums you can get is the number of integers between -10 and 10, inclusive; that number is 21 (10 negative, 10 positive , and 0).