Question

4. The 3rd term of an arithmetic sequence is 32
. The common difference is 12
. Complete the statement.(2 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
The explicit formula for the sequence is Response area and the recursive formula for the sequence is Response area.
Question 2
5. The first time Mya competed in a 500 meter free style race, her time was 15 minutes flat. Each subsequent race, Mya's time was reduced by 10 seconds.

Complete the statement.

(2 points)
The context is best represented by
and the domain is

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Answer 1

### Question 4

**The explicit formula for the sequence is**:
\[ a_n = 32 + (n - 3) \times 12 \]
or simplifying,
\[ a_n = 12n + 4 \]

**The recursive formula for the sequence is**:
\[ a_1 = 4 \]
\[ a_n = a_{n-1} + 12 \text{ for } n > 1 \]

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### Question 5

**The context is best represented by**:
\[ T(n) = 15 \text{ minutes} - (n - 1) \times \frac{10 \text{ seconds}}{60} \]
or \( T(n) = 15 - \frac{10(n - 1)}{60} \) in minutes.

**And the domain is**:
\[ n \geq 1 \] (where \( n \) is the number of races Mya has competed in)

Please make sure to adjust the input according to the provided formats as your system requires.