If the series ∑[infinity] k=1 ak and ∑[infinity] k=1 bk are both absolutely convergent, what can we conclude about the series ∑[infinity] k=1 akbk?

A. It is also absolutely convergent.
B. It is not absolutely convergent.
C. It may or may not be absolutely convergent.
D. It is impossible to determine without more information.