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Using the equation t=13n+7

, create a sequence that corresponds from the 1st term to the 5th term.(1 point)
Responses

21, 22, 23, 24, 25
21, 22, 23, 24, 25

13, 26, 39, 50, 65
13, 26, 39, 50, 65

20, 33, 39, 59, 72
20, 33, 39, 59, 72

20, 33, 46, 59, 72
20, 33, 46, 59, 72

1 answer

To find the first five terms of the sequence defined by the equation \( t = 13n + 7 \), we need to substitute the values of \( n \) from 1 to 5 into the equation.

Let's calculate each term:

  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 \( n = 5 \): \[ t = 13(5) + 7 = 65 + 7 = 72 \]

Thus, the sequence from the 1st term to the 5th term is: \[ 20, 33, 46, 59, 72 \]

The correct response is: 20, 33, 46, 59, 72.