Question

Use the explicit formula an=4−3n
to find the seventh term of the arithmetic sequence.(1 point)
Responses

a7=1
a subscript 7 baseline equals 1

a7=7
a subscript 7 baseline equals 7

a7=−1
a subscript 7 baseline equals negative 1

a7=−17

Answer 1

To find the seventh term of the arithmetic sequence using the explicit formula \( a_n = 4 - 3n \), we can substitute \( n = 7 \) into the formula.

\[
a_7 = 4 - 3(7)
\]
\[
a_7 = 4 - 21
\]
\[
a_7 = -17
\]

Therefore, the seventh term is \( a_7 = -17 \).

So the correct response is:

**a7=−17**