An arithmetic sequence is one that every member relates to the previous one by the sum of a constant number, a ratio. This means that the growth in the sequence is always constant, for each new member of the sequence we should expect an increase that is equal to the ratio.
With this in mind we need to analyze the graphs. The sequence we want to find starts at 0, this means that the graph will start touching the "x-axis". There are only two graphs that follow this rule, they are B and D.
Now we will look at the inclination of the graph, we know that the ratio for the sequence is 2, so for every increment on the x-axis there should be an increment of 2 on the y-axis. The one that satisfies this is the graph in D, because the first element is 0, the second one is 2, the third one is 4 and so on. The correct option is A.