Question

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 Multiply by the common difference of −3.5 . Multiply by the common difference of negative 3.5 . Add the common ratio of −3.5 . Add 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 ratio of −3.5 .

Answer 1

To determine the rule for generating the next term in the sequence 23, 19.5, 16, 12.5, we first need to identify the differences between consecutive terms:

- 23 to 19.5: 19.5 - 23 = -3.5
- 19.5 to 16: 16 - 19.5 = -3.5
- 16 to 12.5: 12.5 - 16 = -3.5

The common difference between the terms is -3.5.

Therefore, the correct statement is:

**Add the common difference of -3.5.**