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 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 .

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

Add the common ratio of −3.5.

Answer 1

The correct statement for generating the next term in the sequence 23, 19.5, 16, 12.5, ... is:

Add the common difference of −3.5.

The sequence is decreasing by 3.5 each time:

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

Therefore, the next term can be found by continuing to add the common difference of -3.5.