Find the sum of the first n terms of the following arithmetic sequence.
-Find the sum of the first 52 positive multiples of 7.
A) $\frac { 19663 } { 2 }$
B) 9646
C) 9464
D) 9282

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. For the first 52 positive multiples of 7, $a_1 = 7$, $a_n = 7 \times 52 = 364$, and $n = 52$. Plugging these values into the formula gives $S_n = \frac{52}{2}(7 + 364) = 26 \times 371 = 9646$.

Find the Sum of the First N Terms of the Following