Use the explicit formula an=4−3n

Question

to find the seventh term of the arithmetic sequence.(1 point)
Responses

a7=1
a subscript 7 baseline equals 1

a7=−17
a subscript 7 baseline equals negative 17

a7=7
a subscript 7 baseline equals 7

a7=−1
a subscript 7 baseline equals negative 1

Answer 1

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

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

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

So the correct response is:

a7=−17