What is the next term in the following letter series? aceg, cegi, egik, gikm, __

Observe the change from one term to the next:

aceg → cegi: each letter moves 2 places forward.
cegi → egik: each letter again moves 2 places forward.
egik → gikm: the same +2 pattern continues.

So from gikm:
g + 2 = i, i + 2 = k, k + 2 = m, and m + 2 = o.

Therefore, the next term is ikmo.