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The Collaborative International Dictionary
Accumulatively

Accumulative \Ac*cu"mu*la*tive\, a. Characterized by accumulation; serving to collect or amass; cumulative; additional. -- Ac*cu"mu*la*tive*ly, adv. -- Ac*cu"mu*la*tive*ness, n.

Wiktionary
accumulatively

adv. In an accumulative manner