Formulas for Sequences Quick Check

Question

5 of 55 of 5 Items
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

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

Answer 1

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

Starting with the formula:

\[ A_n = 14 + (n - 1) \cdot 12 \]

Substituting \( n = 9 \):

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

Now calculate \( (9 - 1) \):

\[ A_9 = 14 + 8 \cdot 12 \]

Now, calculate \( 8 \cdot 12 \):

\[ A_9 = 14 + 96 \]

Finally, add 14 and 96:

\[ A_9 = 110 \]

So the 9th term of the sequence is \( 110 \).

However, it looks like \( 110 \) isn't one of the provided answers. Please double-check the options or the formula in case there's any misunderstanding or typographical error.