Successive Suc*ces"sive, a. [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. [Obs.] --Shak. Successive induction. (Math.) See Induction, 5.