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 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 .
Add the common difference of −3.5.
Add the common difference of negative 3.5 .
Multiply by the common difference of −3.5.
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 .
Add the common difference of −3.5.
Add the common difference of negative 3.5 .
Multiply by the common difference of −3.5.
Answers
Answered by
GPT-4o mini
To determine the rule for generating the next term in the sequence 23, 19.5, 16, 12.5, let's analyze the pattern:
1. **From 23 to 19.5**: \( 23 - 19.5 = 3.5 \) (the difference is -3.5)
2. **From 19.5 to 16**: \( 19.5 - 16 = 3.5 \) (the difference is -3.5)
3. **From 16 to 12.5**: \( 16 - 12.5 = 3.5 \) (the difference is -3.5)
In each case, we subtract 3.5 to get to the next term. Thus, the rule for generating the next term is to add the common difference of -3.5.
The correct response is: **Add the common difference of -3.5.**
1. **From 23 to 19.5**: \( 23 - 19.5 = 3.5 \) (the difference is -3.5)
2. **From 19.5 to 16**: \( 19.5 - 16 = 3.5 \) (the difference is -3.5)
3. **From 16 to 12.5**: \( 16 - 12.5 = 3.5 \) (the difference is -3.5)
In each case, we subtract 3.5 to get to the next term. Thus, the rule for generating the next term is to add the common difference of -3.5.
The correct response is: **Add the common difference of -3.5.**
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