Find the sum of the first 62 terms of the arithmetic sequence with first term 9 and 62^th term 229. A) 7,378 B) 7,735 C) 7,140 D) 8,568 E) 6,545

Question

Quizplus · Accepted Answer

The sum of the first n 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 nth term. Here, $n = 62$, $a_1 = 9$, and $a_{62} = 229$. Plugging these values into the formula gives $S_{62} = \frac{62}{2}(9 + 229) = 31 \times 238 = 7,378$.

Find the Sum of the First 62 Terms of the Arithmetic