To find the 9th term of the arithmetic sequence using the explicit formula \( A_n = 14 + (n - 1) \cdot 12 \), we can substitute \( n = 9 \) into the formula.
Let's calculate it step by step:
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Substitute \( n = 9 \): \[ A_9 = 14 + (9 - 1) \cdot 12 \]
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Simplify it: \[ A_9 = 14 + (8) \cdot 12 \] \[ A_9 = 14 + 96 \] \[ A_9 = 110 \]
Now, we check the responses provided:
- 434
- 4 Start Fraction 3 over 4 End Fraction
- 834
- 8 Start Fraction 3 over 4 End Fraction
- 414
- 4 Start Fraction 1 over 4 End Fraction
- 814
- 8 Start Fraction 1 over 4 End Fraction
None of the options provided match the calculated 9th term (which is 110). There could be a mistake with the options listed or the question itself. Please verify the options or the formula used.