Find the sum of the arithmetic sequence.
-{-6n + 2}, n = 36
A) -3,636
B) -3,924
C) -3,762
D) -3,816

Question

Quizplus · Accepted Answer

The sum of an arithmetic sequence can be found using the formula $S = \frac{n}{2}(a_1 + a_n)$, where $S$ is the sum, $n$ is the number of terms, $a_1$ is the first term, and $a_n$ is the last term. For the given sequence, $a_1 = -6(1) + 2 = -4$, and $a_n = -6(36) + 2 = -214$. Plugging these values into the formula gives $S = \frac{36}{2}(-4 - 214) = 18 \times -218 = -3,924$.

Find the Sum of the Arithmetic Sequence