Find the sum of the first 68 terms of the arithmetic sequence with first term 8 and 68^th term 283. Round your answer to one decimal place. A)9,894.0 B)10,330.5 C)9,603.0 D)11,349.0 E)8,875.5

Question

Quizplus · Accepted Answer

The sum of the first n terms of an arithmetic sequence can be found using the formula $S_n = \frac{n}{2} \times (a_1 + a_n)$, 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, $n = 68$, $a_1 = 8$, and $a_{68} = 283$. Plugging these values into the formula gives $S_{68} = \frac{68}{2} \times (8 + 283) = 34 \times 291 = 9,894$.

Find the Sum of the First 68 Terms of the Arithmetic