6, 13,28,59,?

The answer is $\boxed{113}$.

The sequence is $6, 13, 28, 59, 113, 198, \dots$. Each term is the sum of the previous two terms.

Option A, $111$, is

Option B, $113$, is correct because it is the sum of the previous two terms, $59$ and $28$.

Option C, $114$, is incorrect because it is not the sum of

Option D, $122$, is incorrect because it is not the sum of the previous two terms.