Final answer:
The term for continued service in the Navy through reenlistment is 'Active Duty,' which can lead to benefits such as retirement pay, increased pay, and opportunities for officer training.
Step-by-step explanation:
The term used for service in the Regular Navy or Navy Reserve that is continued by reenlistment is known as Active Duty. When a member of the Navy or Navy Reserve reenlists, they are agreeing to continue their service, which often comes with benefits such as increased pay. Furthermore, those who reach 20 years of service have the opportunity to retire in the Naval Reserve and may receive a monthly retirement income. In addition, the Navy offers career advancement opportunities, such as selecting individuals from the ranks to attend the Naval Academy in Annapolis for officer training.