Question

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

a7=7
a subscript 7 baseline equals 7

a7=1
a subscript 7 baseline equals 1

a7=−17
a subscript 7 baseline equals negative 17

a7=−1

Answer 1

To find the seventh term of the sequence defined by the explicit formula \( a_n = 4 - 3n \), we need to substitute \( n = 7 \) into the formula.

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

Calculating this step-by-step:

1. First, calculate \( 3(7) \):
\[
3(7) = 21
\]

2. Then, substitute that back into the formula:
\[
a_7 = 4 - 21
\]

3. Finally, perform the subtraction:
\[
a_7 = 4 - 21 = -17
\]

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

The correct response is:
- \( a_7 = -17 \)