Which of the following statements correctly determines the rule for generating the next term in the sequence 23, 19.5, 16, 12.5, . . .? (1 point) Responses Add the common ratio of −3.5 . Add the common ratio of negative 3.5 . Multiply by the common ratio of −3.5 . Multiply by the common ratio of negative 3.5 . Add the common difference of −3.5 . Add the common difference of negative 3.5 . Multiply by the common difference of −3.5 .

Answer 1

To determine the rule for generating the next term in the sequence 23, 19.5, 16, 12.5, we need to identify the pattern.

1. Finding the differences between the terms:
   • From 23 to 19.5: \( 19.5 - 23 = -3.5 \)
   • From 19.5 to 16: \( 16 - 19.5 = -3.5 \)
   • From 16 to 12.5: \( 12.5 - 16 = -3.5 \)

Since the difference between each consecutive term is \(-3.5\), we conclude that this sequence is generated by adding a common difference.

2. Identifying the correct statement:
   • The statement that correctly describes how to generate the next term is: Add the common difference of -3.5.

Thus, the correct response is:

Add the common difference of −3.5.