successivea.[Cf. F. successif. See Succeed.]1. Following in order or in uninterrupted course; coming after without interruption or interval; following one after another in a line or series; consecutive; as, the successive revolution of years; the successive kings of Egypt; successive strokes of a hammer.()Send the successive ills through ages down. (Prior.)2. Having or giving the right of succeeding to an inheritance; inherited by succession; hereditary; as, a successive title; a successive empire.(Shak.)Successive induction. (Math.) See Induction, 5.()