Common difference (d) of this sequence: + 4, so:
Do you think you can now find the 7th term?
That's all there is to this problem. NOTHING more, NOTHING less!
It is impossible to know the "correct" answer to the problem as presented.
It is clear that there is a common difference between the given terms of the sequence, so it MIGHT BE that there is that same common difference in ALL the terms of the sequence.
But, as the problem is presented, it is impossible to know ANY subsequent terms of the sequence; ANY subsequent numbers would make a valid sequence.
If the only correct answer to the problem is that the next three terms are 2, 6, and 10, then the statement of the problem MUST specify that the sequence is an arithmetic sequence.