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

Question

19
,

15
,

11
,

7
,

3

.

.

.

, use subscript notation to describe a7
𝑎
7
.(1 point)
Responses

a7=−9
𝑎
7
=
−
9
a subscript 7 baseline equals negative 9

a7=−1
𝑎
7
=
−
1
a subscript 7 baseline equals negative 1

a7=−4
𝑎
7
=
−
4
a subscript 7 baseline equals negative 4

a7=−5
𝑎
7
=
−
5

Answer 1

To find \( a_7 \) for the given sequence 19, 15, 11, 7, 3, we first need to determine the pattern or rule governing the sequence.

1. Identify the pattern:

   • The difference between consecutive terms:
     • \( 15 - 19 = -4 \)
     • \( 11 - 15 = -4 \)
     • \( 7 - 11 = -4 \)
     • \( 3 - 7 = -4 \)

   The sequence decreases by 4 each time.

2. General formula: We see that each term can be described by the formula: \[ a_n = 19 - 4(n-1) \] where \( n \) is the term number.

3. Calculate \( a_7 \): Now, substituting 7 into the formula: \[ a_7 = 19 - 4(7 - 1) = 19 - 4(6) = 19 - 24 = -5 \]

Thus, \( a_7 = -5 \).

The correct response is: \[ \boxed{a_7 = -5} \]