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
434
4 Start Fraction 3 over 4 End Fraction
414
4 Start Fraction 1 over 4 End Fraction
834
8 Start Fraction 3 over 4 End Fraction
814
The correct answer is 814.
To find the 9th term of the arithmetic sequence using the explicit formula, plug in n = 9 into the formula:
A9 = 14 + (9 - 1) * 12
A9 = 14 + 8 * 12
A9 = 14 + 96
A9 = 110
Therefore, the 9th term of the arithmetic sequence is 110.