Question

Find the 7th value in the arithmetic sequence described by the explicit formula An=2.5+(n−1)4
.(1 point)
A7=
Remaining Attempts : 3

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 can substitute \( n = 7 \) into the formula.

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

Calculating within the parentheses first:

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

Now calculate \( 6 \cdot 4 \):

\[
6 \cdot 4 = 24
\]

Now substitute that back into the equation:

\[
A_7 = 2.5 + 24
\]

Adding these together:

\[
A_7 = 26.5
\]

Thus, the 7th value in the arithmetic sequence is:

\[
A_7 = 26.5
\]