Question

Which of the following is an arithmetic sequence?

Answer 1

ANSWER

$0,2,4,6,8,...$

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.

$2-1 \ne4-2.$

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

$4 - 1 \ne8 - 4$

The first option is correct.

Answer 2

Answer:

0,2,4,6

Step-by-step 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.