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

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

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.

Answer 1

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

• 19.5 - 23 = -3.5
• 16 - 19.5 = -3.5
• 12.5 - 16 = -3.5

Since each term decreases by 3.5, this indicates that the sequence is an arithmetic sequence where the common difference is -3.5.

Therefore, the correct statement is:

Add the common difference of −3.5.