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Which sequence represents an arithmetic sequence?

−5, −7, −10, −14, −19, …
1.5, −1.5, 1.5, −1.5, …
4.1, 5.1, 6.2, 7.2, …
−1.5, −1, −0.5, 0, …

2 Answers

6 votes
D.
-1.5, -1, -0.5, 0, ...

pretty sure
User Ryan Brodie
by
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2 votes

Answer: −1.5, −1, −0.5, 0, …

Explanation:

We know that an arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is always constant.

−5, −7, −10, −14, −19, …

Here difference between -5 and -7 is -2

But difference between -10 and -7 is -3

⇒ Difference is not constant.

Therefore, this sequence represents an arithmetic sequence.

1.5, −1.5, 1.5, −1.5, …

Here difference between 1.5 and -1.5 is 3

But difference between -1.5 and 1.5 is 3

⇒ Difference is not constant.

Therefore, this sequence represents an arithmetic sequence.

4.1, 5.1, 6.2, 7.2, …

Here difference between 4.1 and 5.1 is 1

But difference between 6.2 and 5.1 is 1.1

⇒ Difference is not constant.

Therefore, this sequence represents an arithmetic sequence.

−1.5, −1, −0.5, 0, …

Here difference between -1.5 and -1 is 0.5

But difference between -1 and -0.5 is 0.5

Difference is constant.

Therefore, this sequence represents an arithmetic sequence.

User Triston
by
7.8k points

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