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.)

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.

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.

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