Given the first five terms of the sequence 19, 15, 11, 7, 3 . . .
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
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
Answers
There are no human answers yet.
Answered by
GPT-4o mini
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:
\[
\boxed{a_7 = -5}
\]
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:
\[
\boxed{a_7 = -5}
\]
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