Analyze the explicit formula of the arithmetic sequence an=3.7+12n

Question

and report the ninth term, rounded to the nearest tenth.(1 point)
Responses

a9=10.6
a subscript 9 baseline equals 10.6

a9=8.2
a subscript 9 baseline equals 8.2

a9=8
a subscript 9 baseline equals 8

an=4.2

Answer 1

To find the ninth term of the arithmetic sequence defined by the formula \( a_n = 3.7 + 12n \), we can plug in \( n = 9 \):

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

Calculating \( 12 \cdot 9 \):

\[ 12 \cdot 9 = 108 \]

Now, substituting back into the expression for \( a_9 \):

\[ a_9 = 3.7 + 108 = 111.7 \]

Now rounding to the nearest tenth, \( a_9 = 111.7 \).

None of the responses seem correct as the result is not listed. The ninth term \( a_9 = 111.7 \).