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 .
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 .
Add the common difference of −3.5.
Responses
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 .
Add the common difference of −3.5.
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To determine the rule for generating the next term in the sequence 23, 19.5, 16, 12.5, we first observe the differences between consecutive terms:
- 19.5 - 23 = -3.5
- 16 - 19.5 = -3.5
- 12.5 - 16 = -3.5
Since each term decreases by 3.5, this indicates that the sequence is an arithmetic sequence where the common difference is -3.5.
Therefore, the correct statement is:
**Add the common difference of −3.5.**
- 19.5 - 23 = -3.5
- 16 - 19.5 = -3.5
- 12.5 - 16 = -3.5
Since each term decreases by 3.5, this indicates that the sequence is an arithmetic sequence where the common difference is -3.5.
Therefore, the correct statement is:
**Add the common difference of −3.5.**
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