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)

Question

Responses

Add the common ratio of -3.5
Add the common ratio of -3.5

Multiply by the common ration of -3.5
Multiply by the common ration of -3.5

Multiply by the common difference of -3.5
Multiply by the common difference of -3.5

Add 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 should analyze how the sequence is progressing.

1. From 23 to 19.5, the change is 19.5 - 23 = -3.5.
2. From 19.5 to 16, the change is 16 - 19.5 = -3.5.
3. From 16 to 12.5, the change is 12.5 - 16 = -3.5.

In each step, we are consistently subtracting 3.5. This indicates that we are adding a common difference of -3.5 to each term to arrive at the next term.

Therefore, the correct answer is:

Add the common difference of -3.5.