Question

Given the first five terms of the sequence 19, 15, 11, 7, 3... use the subscript notation to describe a7
,(1 point)
Responses

a7=−4
A sub 7 is equal to negative 4

a7=−5
A sub 7 is equal to negative 5

a7=−9
A sub 7 is equal to negative 9

a7=−1

Answer 1

To find the 7th term of the sequence defined by the first five terms: 19, 15, 11, 7, 3, we first need to establish the pattern.

We can see that the sequence is decreasing by 4 each time:

- 19 - 4 = 15
- 15 - 4 = 11
- 11 - 4 = 7
- 7 - 4 = 3

This indicates that the \( n \)-th term of the sequence can be described by the formula:

\[
a_n = 19 - 4(n - 1)
\]

To find \( a_7 \):

\[
a_7 = 19 - 4(7 - 1)
\]
\[
= 19 - 4(6)
\]
\[
= 19 - 24
\]
\[
= -5
\]

So, \( a_7 \) is equal to -5.

The correct response is:
**a7=−5**
**A sub 7 is equal to negative 5**