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