Question

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