Question

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

Answer 1

To find the ninth term \( a_9 \) of the arithmetic sequence given by the formula \( a_n = 3.7 + 12n \), we need to substitute \( n = 9 \) into the formula.

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

Now, calculate \( 12 \cdot 9 \):

\[
12 \cdot 9 = 108
\]

Now substitute this back into the formula:

\[
a_9 = 3.7 + 108 = 111.7
\]

Now let's round \( 111.7 \) to the nearest tenth, although it is already rounded.

Thus, the ninth term \( a_9 \) is:

\[
\boxed{111.7}
\]

Please note that none of the provided responses were correct since \( a_9 \) calculates to \( 111.7 \), which is not among the provided options.