successively

in succession without others coming in between as he moved up the corporate ladder, he ensconced his family in successively larger homes Synonyms back-to-back, hand running [dialect], running, sequentially, seriatim, successionally, consecutively, togetherRelated Words serially; constantly, continually, continuingly, continuously, night and day, repeatedly, unceasingly, uninterruptedly; subsequentlyNear Antonyms discontinuously, intermittently, interruptedly