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 .

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

Answer 1

To determine the rule for generating the next term in the sequence \(23, 19.5, 16, 12.5, \ldots\), we need to check how the numbers progress:

1. \(23 - 19.5 = 3.5\)
2. \(19.5 - 16 = 3.5\)
3. \(16 - 12.5 = 3.5\)

We can see that each term decreases by \(3.5\). Therefore, we are subtracting \(3.5\) from the previous term.

This means that the correct statement is:

Add the common difference of −3.5.

The answer is "Add the common difference of −3.5."