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The solution to this problem was discovered by Gauss when he realized that if you write the numbers 1, 2, 3, ... down a column until you reach the midway point, and then start writing the remaining ones up the next column, that each row was the exact same sum.
The equation for the sum of the integers 1 to n is 1/2(n)(n+1).
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What is the sum of the integers from 1to 300?
The sum of the integers from 1 through 300 is 44,850.
Is 95 the sum of integers between 1 and 500?
No. The sum of all integers between 1 and 500 is 124,749.
What is the sum of all consecutive integers 1-100?
101
What is the sum of the first 201 positive integers?
The sum of the first 201 positive integers is 20100 if you include 0 (i.e. from 0 to 200). If you sum the integers from 1 to 201 instead, the sum is 20301.
What is the sum of integers from 1 10?
55
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