The Collaborative International Dictionary of English v.0.48:

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.
      [1913 Webster]

            Send the successive ills through ages down. --Prior.
      [1913 Webster]

   2. Having or giving the right of succeeding to an
      inheritance; inherited by succession; hereditary; as, a
      successive title; a successive empire. [Obs.] --Shak.
      [1913 Webster]

   Successive induction. (Math.) See Induction, 5.
      [1913 Webster]

WordNet (r) 3.0 (2006):

successive
    adj 1: in regular succession without gaps; "serial concerts"
           [syn: consecutive, sequent, sequential, serial,
           successive]

Moby Thesaurus II by Grady Ward, 1.0:

37 Moby Thesaurus words for "successive":
   after, alternating, appendant, attendant, cadet, catenary,
   consecutive, consequent, continual, continuous, ensuing, following,
   junior, later, lineal, linear, next, ordinal, posterior,
   postpositional, postpositive, progressive, proximate, puisne,
   rotating, sequacious, sequent, sequential, serial, seriate,
   subsequent, succeeding, successional, suffixed, unbroken,
   uninterrupted, younger