Question

Which of the following is an arithmetic sequence?

Answer 1

0,2,4,6

Explanation:

This sequence is arithmetic because the same number is being added each time: 2. With the others, the number being added changes every time.

Answer 2

`0,2,4,6,8,...`

EXPLANATION

An arithmetic has a constant difference .

We check to see which of the given sequences has a constant difference.

0,2,4,6,8,... has a constant difference of

`d=2-0=4-2=6-4=8-6=2`

hence it is an arithmetic sequence.

1,2,4,8,... is not an arithmetic sequence because there is no constant difference.

`2-1 \\e4-2.`

1,4,8,13,... is also not an arithmetic sequence because there no constant difference.

`4 - 1 \\e8 - 4`

The first option is correct.