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.
-$$a _ { n } = 3.9 n + 8.96$$
A) 256.14
B) 47.96
C) 304.1
D) 212.08

Question

Quizplus · Accepted Answer

The given sequence is an arithmetic sequence where each term is defined by the formula $a_n = 3.9n + 8.96$. To find the sum of the first 10 terms, we substitute $n$ with each integer from 1 to 10 and sum the results. The sum can be calculated as follows: Sum = $a_1 + a_2 + a_3 + ... + a_{10}$= $(3.9(1) + 8.96) + (3.9(2) + 8.96) + ... + (3.9(10) + 8.96)$= $12.86 + 16.76 + 20.66 + ... + 47.96$When calculated, the sum of these terms equals approximately 304.1, which matches choice C.

Use the Sequence Feature of a Graphing Calculator to Evaluate an=3.9n+8.96a _ { n } = 3.9 n + 8.96an​=3.9n+8.96

Use the Sequence Feature of a Graphing Calculator to Evaluate $a _ { n } = 3.9 n + 8.96$