Source : Webster's Revised Unabridged Dictionary (1913)

Successiveness \Suc*ces"sive*ness\, n.
   The quality or state of being successive.

Source : WordNet®

successiveness
     n : a following of one thing after another in time; "the doctor
         saw a sequence of patients" [syn: {sequence}, {chronological
         sequence}, {succession}, {chronological succession}]