Questions: (a) Consider the following. 97,89,81,73, ?, ?, ? Describe the pattern. Write the next three numbers. (Enter your answers as a comma-separated list.)

(a) Consider the following. 97,89,81,73, ?, ?, ? Describe the pattern. Write the next three numbers. (Enter your answers as a comma-separated list.)
Transcript text: (a) Consider the following. \[ 97,89,81,73, ?, ?, ? \] Describe the pattern. $\square$ This answer has not been graded yet. Write the next three numbers. (Enter your answers as a comma-separated list.) $\square$
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Solution

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Solution Steps

To identify the pattern, observe the differences between consecutive numbers. Once the pattern is identified, apply it to find the next three numbers in the sequence.

Step 1: Identify the Pattern

To identify the pattern, we calculate the differences between consecutive numbers in the sequence: \[ 97 - 89 = 8 \] \[ 89 - 81 = 8 \] \[ 81 - 73 = 8 \] The differences are consistent, indicating that the sequence decreases by 8 each time.

Step 2: Apply the Pattern

Using the identified pattern, we can find the next three numbers in the sequence by continuing to subtract 8 from the last number: \[ 73 - 8 = 65 \] \[ 65 - 8 = 57 \] \[ 57 - 8 = 49 \]

Final Answer

\(\boxed{65, 57, 49}\)

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