To find the 9th term of the arithmetic sequence given by the explicit formula \( A_n = 14 + (n - 1) \cdot 12 \), we can substitute \( n = 9 \) into the formula.
Here’s how to calculate it:
\[ A_9 = 14 + (9 - 1) \cdot 12 \] \[ A_9 = 14 + 8 \cdot 12 \] \[ A_9 = 14 + 96 \] \[ A_9 = 110 \]
None of the responses (414, 834, 814, 434) match the calculated value of \( 110 \). It appears there may be an error with the provided options, or the formula itself might need to be re-evaluated.