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

Add the common difference of −3.5
.
Add the common difference of negative 3.5 .

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

Add the common ratio of −3.5
.
Add the common ratio 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 can look at the differences between consecutive terms.

1. From 23 to 19.5: 19.5 - 23 = -3.5
2. From 19.5 to 16: 16 - 19.5 = -3.5
3. From 16 to 12.5: 12.5 - 16 = -3.5

Each term is decreasing by 3.5, which indicates that the rule for generating the next term is to **add the common difference of -3.5**.

So, the correct response is:

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