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Question

Question
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)
Responses

Multiply by the common ration of -3.5
Multiply by the common ration of -3.5

Add the common difference of -3.5
Add the common difference of -3.5

Add the common ratio of -3.5
Add the common ratio of -3.5

Multiply by the common difference of -3.5
Multiply by the common difference of -3.5
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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 the terms:

• The first term is 23.
• The second term is 19.5. The difference is 19.5 - 23 = -3.5.
• The third term is 16. The difference is 16 - 19.5 = -3.5.
• The fourth term is 12.5. The difference is 12.5 - 16 = -3.5.

We can see that each term is being decreased by 3.5. Therefore, the rule for generating the next term is to add the common difference of -3.5.

So, the correct response is:

Add the common difference of -3.5.