BTGmoderatorDC wrote:What is the sum of the integers from 1 to 999, inclusive?
A. 499000
B. 499500
C. 499999
D. 500500
E. 500999
For any set of consecutive integers:
Count = biggest - smallest + 1.
Average = (biggest + smallest)/2.
Sum = (count)(average).
In the set above:
Count = 999 - 1 + 1 = 999.
Average = (999 + 1)/2 = 500.
Sum = (999)(500) = (1000-1)(500) = 500000-500 = 499500.
The correct answer is
B.
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