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 negative 3.5 .

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

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

Multiply by the common ratio of −3.5
.

Answer 1

To determine the rule for generating the next term in the sequence 23, 19.5, 16, 12.5, let's analyze the differences between consecutive terms:

• \(23 - 19.5 = 3.5\)
• \(19.5 - 16 = 3.5\)
• \(16 - 12.5 = 3.5\)

As we can see, each term is decreasing by 3.5.

So, we can conclude that the correct statement is:

Add the common difference of −3.5.