The sequence follows this pattern:
- The first element increments alphabetically (B, D, H, F...).
- The second element (a number) increases by 1 (2, 3, 5...).
- The last element is a 3-letter sequence moving alphabetically (CD, E3F, etc.).
Therefore, the subsequent term is: G3HI.
\(⇒\) \boxed{\text{G3HI}}