Continuation, continuance, continuity are often confused, especially when meaning the quality, the act, or the state of continuing or of being continued or an instance revealing such a quality, action, or state.
Continuation suggests prolongation or resumption.
Continuance implies duration, perseverance, or stay.
Continuity stresses uninterrupted or unbroken connection, sequence, or extent.
In the technical language of those engaged in making motion pictures or in radio and television broadcasting, continuity denotes material written in advance (as the scenario of a motion picture or the lines to be spoken in a radio broadcast) as provision for perfection in sequence and in timing of the performance.