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=7
a subscript 7 baseline equals 7

a7=−17
a subscript 7 baseline equals negative 17

a7=−1

Answer 1

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

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

Calculating this step-by-step:

1. Calculate \( 3(7) = 21 \)
2. Now substitute back into the formula:

\[ a_7 = 4 - 21 \]

3. Finally, compute \( 4 - 21 = -17 \).

Thus, the seventh term \( a_7 \) is

\[ \boxed{-17} \]