Question

What is the rule in the following sequence? 2.1, 3.5, 4.9, 6.3, 7.7, 9.1, .... (1 point) Responses ×0.6 times 0 point 6 −1.4 negative 1 point 4 +1.4 plus 1 point 4 ×1.67 times 1 point 6 7 Question 2 What are the next 2 terms of the sequence? 2.1, 3.5, 4.9, 6.3, 7.7, 9.1,.... (1 point) 7th term: 8th term: Question 3 Is this sequence geometric, arithmetic or neither?(1 point) Responses Neither Neither Arithmetic Arithmetic Geometric

Answer 1

To analyze the sequence provided:

**Sequence:** 2.1, 3.5, 4.9, 6.3, 7.7, 9.1, ...

**Question 1:** What is the rule in the sequence?
To find the rule, we can look at the differences between consecutive terms:

- 3.5 - 2.1 = 1.4
- 4.9 - 3.5 = 1.4
- 6.3 - 4.9 = 1.4
- 7.7 - 6.3 = 1.4
- 9.1 - 7.7 = 1.4

Since the difference between each pair of consecutive terms is consistently \(1.4\), the rule is:
**+1.4**

So, the response to the first question would be **+1.4**.

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**Question 2:** What are the next 2 terms of the sequence?
Given that the last term is 9.1 and we add 1.4 for each subsequent term:

- 7th term: \( 9.1 + 1.4 = 10.5 \)
- 8th term: \( 10.5 + 1.4 = 11.9 \)

So,
- **7th term:** 10.5
- **8th term:** 11.9

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**Question 3:** Is this sequence geometric, arithmetic, or neither?
Since the sequence has a constant difference (1.4) between each term, it is classified as:
**Arithmetic**

So the answer choices for question 3 would be **Arithmetic**.

In summary:
1. Rule in the sequence: **+1.4**
2. Next two terms: **10.5**, **11.9**
3. Type of sequence: **Arithmetic**