Identify the next term in the following letter series.
BE, DG, FI, HK, ?

Let's analyze the pattern for the first and second letters of each term independently:
First letters:

* B (+2) $\to$ D
* D (+2) $\to$ F
* F (+2) $\to$ H
* H (+2) $\to$ J

Second letters:

* E (+2) $\to$ G
* G (+2) $\to$ I
* I (+2) $\to$ K
* K (+2) $\to$ M

Combining the two letters, the next term in the series is JM.