Question

Analyze the explicit formula of the arithmetic sequence an=3.7+12n𝑎𝑛=3.7+12𝑛 and report the ninth term, rounded to the nearest tenth.(1 point)Responsesa9=10.6𝑎9=10.6a subscript 9 baseline equals 10.6a9=8𝑎9=8a subscript 9 baseline equals 8an=4.2𝑎𝑛=4.2a subscript n baseline equals 4.2a9=8.2

Answer 1

To analyze the explicit formula of the arithmetic sequence given by \( a_n = 3.7 + 12n \), we can find the ninth term \( a_9 \) by substituting \( n = 9 \) into the formula.

\[
a_9 = 3.7 + 12 \cdot 9
\]
\[
a_9 = 3.7 + 108
\]
\[
a_9 = 111.7
\]

Therefore, the ninth term \( a_9 \) of the arithmetic sequence is **111.7**.

Next, rounding \( 111.7 \) to the nearest tenth gives us \( 111.7 \) (as it is already at one decimal place).

So, the answer remains \( a_9 = 111.7 \).

The options you provided do not seem to include this value, so if those are indeed the only choices, none of them are correct for \( a_9 \).