The accidental fan
Among any fan base is a group of people who "liked" your page by accident. Whether they fat-fingered your "like" button on a mobile device or just inadvertently clicked the button on their computer, this set of fans has pretty limited value to you. The good news is there aren't that many of them, so it's just important to recognize that this group exists and not worry too much about trying to get engagement from your entire fan base.
The forgotten fan
Just like in our personal lives, we have old friends who've dropped off our radar. They're still on your holiday card list, but you really don't keep in touch. This group includes the people who can't figure out how to "unlike" you and don't really care that much whether they see you in their feed or not. They are much like the people on your email list who don't make the effort to unsubscribe when they are no longer interested. Occasionally, these folks will reengage with you throughout your relationship and could turn into closer friends down the road.