Linear Change Quick Check

Question

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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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Answer 1

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.