Question

Formulas for Sequences Quick Check
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Question
Use the explicit formula an=4−3n
to find the seventh term of the arithmetic sequence.(1 point)
Responses

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

a7=1

Answer 1

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

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

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

The correct response is:

**a7=−17**