The pattern in the series is that each term increases by 3. From 4 to 7 the difference is 3, from 7 to 10 it is 3 and from 10 to 13 it is again 3. To continue this arithmetic progression, we add 3 to the last term 13. That gives 13 + 3 = 16 as the next term.
Option A:
Option A keeps the constant difference of 3 between consecutive terms, which is the defining rule of this series. It extends the pattern 4, 7, 10, 13 in a straightforward way. Because it is obtained by applying the same operation as before, 16 is the only value that fits the given progression.
Option B:
Option B, 17, would require an increase of 4 from 13, which breaks the uniform +3 difference observed in the earlier steps. It introduces a new rule that is not supported by the given data.
Option C:
Option C, 18, implies adding 5 to 13 and similarly fails to maintain the steady increment of 3. It cannot be justified from the structure of the sequence.
Option D:
Option D, 19, would mean adding 6 to 13, making the jump much larger than any of the previous differences and clearly inconsistent with the pattern.
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