\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.