Question

Find the 7th value in the arithmetic sequence described by the explicit formula An=2.5+(n−1)4
◂=▸
.(1 point)
A7=
𝐴
7
=

Check answer

Answer 1

To find the 7th value in the arithmetic sequence given by the explicit formula \( A_n = 2.5 + (n - 1) \cdot 4 \), we need to substitute \( n = 7 \) into the formula.

Let's calculate \( A_7 \):

\[
A_7 = 2.5 + (7 - 1) \cdot 4
\]

Calculate \( 7 - 1 \):

\[
7 - 1 = 6
\]

Now substitute this back into the equation:

\[
A_7 = 2.5 + 6 \cdot 4
\]

Calculate \( 6 \cdot 4 \):

\[
6 \cdot 4 = 24
\]

Now combine \( 2.5 + 24 \):

\[
A_7 = 2.5 + 24 = 26.5
\]

Thus, the 7th value in the arithmetic sequence is

\[
\boxed{26.5}
\]