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 .

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

Multiply by 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 identify how each term relates to the previous term.

1. From \(23\) to \(19.5\): \[ 23 - 19.5 = 3.5 \] \[ 19.5 - 16 = 3.5 \] \[ 16 - 12.5 = 3.5 \]

As we can see, each term is derived by subtracting \(3.5\) from the previous term.

Therefore, the correct description of the rule for generating the next term is:

Add the common difference of \(-3.5\).

So, the correct response is: Add the common difference of negative 3.5.