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Adjective: accumulative  u'kyoo-myu,ley-tiv [N. Amer], u'kyoo-myû-lu-tiv [Brit]
  1. Increasing by successive addition
    "the eventual accumulative effect of these substances";
    - cumulative
     
  2. Marked by acquiring or amassing
    "we live in an accumulative society"

See also: acquisitive, additive