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.
Add the common difference of negative 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 difference between each pair of consecutive terms:

• From 23 to 19.5, the difference is 19.5 - 23 = -3.5.
• From 19.5 to 16, the difference is 16 - 19.5 = -3.5.
• From 16 to 12.5, the difference is 12.5 - 16 = -3.5.

Since the difference between consecutive terms is consistently -3.5, we can conclude that we are adding the common difference of -3.5 to generate the next term.

Therefore, the correct statement is:

Add the common difference of -3.5.