Given the first five terms of the sequence 19, 15, 11, 7, 3 . . .

Question

, use subscript notation to describe a7
.(1 point)
Responses

a7=−1
a subscript 7 baseline equals negative 1

a7=−9
a subscript 7 baseline equals negative 9

a7=−4
a subscript 7 baseline equals negative 4

a7=−5

Answer 1

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).