Find the sum of the first 6 terms of the arithmetic sequence 2, 4, 6, . . . .
A) 49
B) 36
C) 42
D) 30

Question

Quizplus · Accepted Answer

The sum of the first 6 terms 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, and $a_n$ is the $n$th term. Here, $n = 6$, $a_1 = 2$, and $a_n = 2 + 5(2) = 12$ (since the common difference $d = 2$). Thus, $S_6 = \frac{6}{2}(2 + 12) = 3(14) = 42$.

Find the Sum of the First 6 Terms of the Arithmetic