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Add the smallest number with the highest number.
1 plus 500 = 501.
Do the same with the second highest and the second smallest.
2 plus 499 = 501
As you can see, all the totals equal 501. Now just divide 500 by two since you are using two unique numbers per combination.
500 divided by 2 = 250.
Now multiply the total of one combination (501) by the number of possible unique combinations (250)
501 times 250 = 125,250.
That is the sum. Not very complicated.
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∙ 14y ago
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The sum of the first 500 odd counting numbers is 250,000.
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