Use the method of Gauss to find the sum.
-1 + 2 + 3 + . . . + 1000
A)500,500
B)500,000
C)250,000
D)1,002,001

Question

Quizplus · Accepted Answer

The method of Gauss for summing an arithmetic series involves multiplying the number of terms by the sum of the first and last term, divided by 2. For 1 + 2 + 3 + ... + 1000, there are 1000 terms, and the sum of the first and last term is 1 + 1000 = 1001. Therefore, the sum is (1000 * 1001) / 2 = 500,500.

Use the Method of Gauss to Find the Sum