Which of the following correctly uses the explicit formula, An=14+(n−1)⋅12

, to find the 9th term of the described arithmetic sequence?(1 point)
Responses

814
8 Start Fraction 1 over 4 End Fraction

414
4 Start Fraction 1 over 4 End Fraction

434
4 Start Fraction 3 over 4 End Fraction

834
8 Start Fraction 3 over 4 End Fraction

1 answer

To find the 9th term of the arithmetic sequence using the explicit formula \( A_n = 14 + (n - 1) \cdot 12 \), we need to substitute \( n = 9 \) into the formula.

Let's calculate it step by step:

  1. Substitute \( n = 9 \): \[ A_9 = 14 + (9 - 1) \cdot 12 \]

  2. Simplify \( (9 - 1) \): \[ (9 - 1) = 8 \]

  3. Now, multiply by 12: \[ 8 \cdot 12 = 96 \]

  4. Finally, add 14: \[ A_9 = 14 + 96 = 110 \]

The calculated 9th term \( A_9 = 110 \).

It appears none of the answer choices provided in your response correspond to 110. Please double-check the options or provide additional information as needed.