ANSWER
[tex]0,2,4,6,8,...[/tex]
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
[tex]d=2-0=4-2=6-4=8-6=2[/tex]
hence it is an arithmetic sequence.
1,2,4,8,... is not an arithmetic sequence because there is no constant difference.
[tex]2-1 \ne4-2.[/tex]
1,4,8,13,... is also not an arithmetic sequence because there no constant difference.
[tex]4 - 1 \ne8 - 4[/tex]
The first option is correct.
