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 Add the common ratio of −3.5 . Add the common ratio of negative 3.5 . Multiply by the common ratio of −3.5 . Multiply by 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
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 need to identify the pattern.
1. **Finding the differences between the 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: \( 12.5 - 16 = -3.5 \)
Since the difference between each consecutive term is \(-3.5\), we conclude that this sequence is generated by adding a common difference.
2. **Identifying the correct statement**:
- The statement that correctly describes how to generate the next term is: **Add the common difference of -3.5.**
Thus, the correct response is:
**Add the common difference of −3.5.**
1. **Finding the differences between the 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: \( 12.5 - 16 = -3.5 \)
Since the difference between each consecutive term is \(-3.5\), we conclude that this sequence is generated by adding a common difference.
2. **Identifying the correct statement**:
- The statement that correctly describes how to generate the next term is: **Add the common difference of -3.5.**
Thus, the correct response is:
**Add the common difference of −3.5.**
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.