Question

) Use the explicit formula \(a_n=4-3n\) to find the seventh term of the arithmetic sequence.
(1 point)
\(a_7=7\)
\(a_7=1\)
\(a_7=-17\)
\(a_7=-1\)

Answer 1

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

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

Calculate \(3(7)\):

\[
3(7) = 21
\]

Now substitute that back into the equation:

\[
a_7 = 4 - 21
\]
\[
a_7 = -17
\]

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

The correct answer is:
\[
\boxed{-17}
\]