Find the 7th value in the arithmetic sequence described by the explicit formula An=2.5+(n−1)4

.(1 point)
A7=

1 answer

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

\[ A_7 = 2.5 + (7 - 1) \cdot 4 \] \[ A_7 = 2.5 + 6 \cdot 4 \] \[ A_7 = 2.5 + 24 \] \[ A_7 = 26.5 \]

Thus, the 7th value in the arithmetic sequence is \( A_7 = 26.5 \).