Question

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

834
8 Start Fraction 3 over 4 End Fraction

434
4 Start Fraction 3 over 4 End Fraction

414
4 Start Fraction 1 over 4 End Fraction

814

Answer 1

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.

Calculating \( A_9 \):

\[
A_9 = 14 + (9 - 1) \cdot 12
\]
\[
A_9 = 14 + 8 \cdot 12
\]
\[
A_9 = 14 + 96
\]
\[
A_9 = 110
\]

Now, we check the responses provided, but it seems none of them match the value \( 110 \). If that's the case, it might be worth double-checking the arithmetic or the formula provided.

Let's see if any of the responses can be interpreted as \( 110 \):

- \( 834 \)
- \( 434 \)
- \( 414 \)
- \( 814 \)

None of these seem to equal \( 110 \).

If there's any clarification needed or if the formula should be used differently, please let me know!