Recurring events vs an event series

AddEvent allows you to create both recurring events and event series. With a recurring event, you cannot edit or delete any of the occurrences individually. In contrast, event series allows you to create a mass of events at one time and then edit or delete them individually. This is because a recurring event is one event that occurs multiple times. 

You can share a recurring event with one Add to Calendar button or Add to Calendar link. Since events in a series are individual events, you must use a subscription calendar if you want to share them with one Add to Calendar button or Add to Calendar link.

Here is a quick video that goes through this information.