Find the sum of the arithmetic sequence.
-{2n - 2}, n = 43
A) 1,956.5
B) 1,806
C) 1,763
D) 2,107

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 {2n - 2}, when $n = 43$, the first term $a_1 = 2(1) - 2 = 0$ and the last term $a_{43} = 2(43) - 2 = 84$. Plugging these values into the formula gives $S = \frac{43}{2}(0 + 84) = \frac{43}{2} \times 84 = 1806$.

Find the Sum of the Arithmetic Sequence