To find the term \( a_7 \) in the sequence 19, 15, 11, 7, 3, we first need to determine the pattern of the sequence.
Observing the terms:
- \( a_1 = 19 \)
- \( a_2 = 15 \)
- \( a_3 = 11 \)
- \( a_4 = 7 \)
- \( a_5 = 3 \)
We can see that each term is decreasing by 4:
- \( 19 - 4 = 15 \)
- \( 15 - 4 = 11 \)
- \( 11 - 4 = 7 \)
- \( 7 - 4 = 3 \)
This indicates that the sequence follows a pattern where each term can be expressed as: \[ a_n = 19 - 4(n - 1) \]
To find \( a_7 \): \[ a_7 = 19 - 4(7 - 1) \] \[ = 19 - 4 \times 6 \] \[ = 19 - 24 \] \[ = -5 \]
So the value of \( a_7 \) is \( -5 \).
The correct response is: \( a_7 = -5 \) (a subscript 7 baseline equals negative 5).