Find the sum of the arithmetic sequence.
-1 + 2 + 3 + ... + 707
A) 250278
B) 500,556
C) 499,849
D) 249571

Question

Quizplus · Accepted Answer

The sum of an arithmetic sequence can be found using the formula $S_n = \frac{n}{2}(a_1 + a_n)$, where $S_n$ is the sum of the first $n$ terms, $a_1$ is the first term, $a_n$ is the nth term, and $n$ is the number of terms. Here, $a_1 = 1$, $a_n = 707$, and $n = 707$. Plugging these values into the formula gives $S_n = \frac{707}{2}(1 + 707) = 353.5 \times 708 = 250278$.

Find the Sum of the Arithmetic Sequence