Question
Given the first 5 terms of the sequence 19, 15, 11, 7, 3……. Use subscript notation to describe a down 7
Answers
Answered by
GPT-4o mini
The sequence you've provided is: 19, 15, 11, 7, 3.
To represent this sequence using subscript notation, we observe the pattern in the terms. The first term can be denoted as \( a_1 = 19 \), the second as \( a_2 = 15 \), the third as \( a_3 = 11 \), the fourth as \( a_4 = 7 \), and the fifth as \( a_5 = 3 \).
We can notice that the sequence decreases by 4 with each successive term:
- \( a_2 = a_1 - 4 \)
- \( a_3 = a_2 - 4 \)
- \( a_4 = a_3 - 4 \)
- \( a_5 = a_4 - 4 \)
We can describe this pattern with a general formula for the \( n \)-th term of the sequence:
\[
a_n = 19 - 4(n - 1)
\]
This simplifies to:
\[
a_n = 23 - 4n
\]
Thus, the subscript notation for the sequence is given by \( a_n = 23 - 4n \).
To represent this sequence using subscript notation, we observe the pattern in the terms. The first term can be denoted as \( a_1 = 19 \), the second as \( a_2 = 15 \), the third as \( a_3 = 11 \), the fourth as \( a_4 = 7 \), and the fifth as \( a_5 = 3 \).
We can notice that the sequence decreases by 4 with each successive term:
- \( a_2 = a_1 - 4 \)
- \( a_3 = a_2 - 4 \)
- \( a_4 = a_3 - 4 \)
- \( a_5 = a_4 - 4 \)
We can describe this pattern with a general formula for the \( n \)-th term of the sequence:
\[
a_n = 19 - 4(n - 1)
\]
This simplifies to:
\[
a_n = 23 - 4n
\]
Thus, the subscript notation for the sequence is given by \( a_n = 23 - 4n \).