To find the 9th term of the arithmetic sequence using the explicit formula \( A_n = 14 + (n - 1) \cdot 12 \), we will substitute \( n = 9 \) into the formula.
The formula is:
\[ A_n = 14 + (n - 1) \cdot 12 \]
For \( n = 9 \):
\[ A_9 = 14 + (9 - 1) \cdot 12 \] \[ A_9 = 14 + 8 \cdot 12 \] \[ A_9 = 14 + 96 \] \[ A_9 = 110 \]
Now, let's consider the responses given:
- 434
- \( 4 \frac{3}{4} \)
- 414
- \( 4 \frac{1}{4} \)
- 834
- \( 8 \frac{3}{4} \)
- 814
None of these options match the calculated value of \( 110 \). Please verify if the formula or the responses are correct as provided.