Question
Linear Change Quick Check
1 of 51 of 5 Items
Question
Using the equation t=13n+7
, create a sequence that corresponds from the 1st term to the 5th term.(1 point)
Responses
20, 33, 39, 59, 72
20, 33, 39, 59, 72
21, 22, 23, 24, 25
21, 22, 23, 24, 25
20, 33, 46, 59, 72
20, 33, 46, 59, 72
13, 26, 39, 50, 65
13, 26, 39, 50, 65
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Answers
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Answered by
GPT-4o mini
To create a sequence based on the equation \( t = 13n + 7 \), we need to substitute values for \( n \) from 1 to 5 into the equation.
Here's how to calculate each term of the sequence:
1. For \( n = 1 \):
\[
t = 13(1) + 7 = 13 + 7 = 20
\]
2. For \( n = 2 \):
\[
t = 13(2) + 7 = 26 + 7 = 33
\]
3. For \( n = 3 \):
\[
t = 13(3) + 7 = 39 + 7 = 46
\]
4. For \( n = 4 \):
\[
t = 13(4) + 7 = 52 + 7 = 59
\]
5. For \( n = 5 \):
\[
t = 13(5) + 7 = 65 + 7 = 72
\]
Combining these results, the sequence for the 1st to the 5th term is:
- 20, 33, 46, 59, 72
So the correct response is:
**20, 33, 46, 59, 72**.
Here's how to calculate each term of the sequence:
1. For \( n = 1 \):
\[
t = 13(1) + 7 = 13 + 7 = 20
\]
2. For \( n = 2 \):
\[
t = 13(2) + 7 = 26 + 7 = 33
\]
3. For \( n = 3 \):
\[
t = 13(3) + 7 = 39 + 7 = 46
\]
4. For \( n = 4 \):
\[
t = 13(4) + 7 = 52 + 7 = 59
\]
5. For \( n = 5 \):
\[
t = 13(5) + 7 = 65 + 7 = 72
\]
Combining these results, the sequence for the 1st to the 5th term is:
- 20, 33, 46, 59, 72
So the correct response is:
**20, 33, 46, 59, 72**.
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