So you're okay with someone who has a gap that crosses years?
INSERT INTO #t(BeneficiaryID, EligYear, EligMonth )
Select '12345678',2016,6 UNION
Select '12345678',2016,7 UNION
Select '12345678',2016,8 UNION
Select '12345678',2016,9 UNION
Select '12345678',2016,10 UNION
Select '12345678',2017,3 UNION
Select '12345678',2017,4 UNION
Select '12345678',2017,5
Drew
J. Drew Allen
Business Intelligence Analyst
Philadelphia, PA