They have to serve for at least 5 years, and a senator serves 6 year terms, so for a Senator it would be one term (once the Senator was 62 or older after 5 years) but for a ex Member of the House it would be 3 terms.hey have to serve for at least 5 years, and a senator serves 6 year terms, so for a Senator it would be one term (once the Senator was 62 or older after 5 years) but for a ex Member of the House it would be 3 terms.