Use the sequence feature of a graphing calculator to evaluate the sum of the first 10 terms of the arithmetic sequence.
Round to the nearest thousandth, if necessary.
-Find the sum of all the integers from -44 to 34.
A) -385
B) -395
C) -429
D) -351

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. Here, $a_1 = -44$, $a_n = 34$, and $n = 34 - (-44) + 1 = 79$. Plugging these values into the formula gives $S_n = \frac{79}{2}(-44 + 34) = \frac{79}{2}(-10) = -395$.

Use the Sequence Feature of a Graphing Calculator to Evaluate