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
.
Add the common ratio of negative 3.5 .

Answer 1

To determine the rule for generating the next term in the sequence 23, 19.5, 16, 12.5, let's examine the differences between successive 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 each term is generated by adding a common difference of -3.5 to the previous term, the correct statement is:

Add the common difference of -3.5.