Question

Which of the following are arithmetic sequences? Check all that apply.

A. 0.3, 0.6, 0.9, 1.2, 1.5, ...
B. 2, 3, 6, 11, 18, ...
C. 150, 147, 144, 142, ...
D. 2, 4, 9, 16, 25, ...

Answer 1

Only A

Explanation:

A. This is the arithmetic sequence, because

Explanation:

Answer 2

Only A

Explanation:

A. This is the arithmetic sequence, because

`0.6-0.3=0.9-0.6=1.2-0.9=1.5-1.2=0.3.`

The first term of this sequence is
`0.3` and the difference is 0.3.

B. Since
`3-2\\eq 6-3,` this is not arithmetic sequence.

C. Since
`150-147=147-144\\eq 144-142,` this is not arithmetic sequence.

D. Since
`4-2\\eq 9-4,` this is not arithmetic sequence.