The phrase "terminated the account" can have a number of synonyms depending on the context. Some common alternatives might include "closed the account," "cancelled the account," or "shut down the account." Other options could include "ceased the account," "discontinued the account," or "terminated the account relationship." Ultimately, the synonym that is most appropriate will depend on the specific circumstances, as well as the tone and level of formality required by the situation. Regardless of the specific term used, however, it is generally understood to mean that the account has been closed and is no longer active.