To find the 9th term of the arithmetic sequence given the explicit formula \( A_n = 14 + (n - 1) \cdot 12 \), we need to substitute \( n = 9 \) into the formula.
\[ A_9 = 14 + (9 - 1) \cdot 12 \]
Now, calculate:
- Compute \( (9 - 1) \) which equals \( 8 \).
- Multiply \( 8 \) by \( 12 \):
\[ 8 \cdot 12 = 96 \]
- Now add \( 14 \) to \( 96 \):
\[ A_9 = 14 + 96 = 110 \]
Thus, the 9th term of the arithmetic sequence is \( 110 \).
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