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
−
3.5
.
Add the common ratio of negative 3.5 .

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

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

Multiply by the common ratio of −3.5
−
3.5
.
Multiply by 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, we first need to identify how each term relates to the previous term.

Calculating the differences between terms:

• From 23 to 19.5: 19.5 - 23 = -3.5
• From 19.5 to 16: 16 - 19.5 = -3.5
• From 16 to 12.5: 12.5 - 16 = -3.5

We see that each term is decreasing by 3.5. This indicates that we are adding the common difference of -3.5 to each term to get the next term.

Thus, the correct statement is:

Add the common difference of −3.5.