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

Question

Responses

a7=−17
a subscript 7 baseline equals negative 17

a7=1
a subscript 7 baseline equals 1

a7=−1
a subscript 7 baseline equals negative 1

a7=7

Answer 1

To find the seventh term \( a_7 \) of the arithmetic sequence given by the explicit formula \( a_n = 4 - 3n \), we substitute \( n = 7 \) into the formula:

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

Calculating it step by step:

1. First, calculate \( 3 \times 7 = 21 \).
2. Then, substitute this into the equation: \[ a_7 = 4 - 21 \]
3. Finally, simplify: \[ a_7 = 4 - 21 = -17 \]

Thus, the seventh term of the sequence is:

\[ \boxed{-17} \]