Back with ex.

Should I get back with my ex.. even tho he cheated on me? He had sex with another girl and i only found after we broke up because I was gonna focus on school for a year and then go back with him. But after finding out he cheated I didn’t want to. But now I’m over it, because it was my fault for being a bad girlfriend and that caused him to cheat. But he apologized and seems really sincere and I miss him and cant stop thinking about him. Should I get back with him after my last school year? Or should i just not look back?