cumulative

cu|mu|la|tive /kj'uːmjʊlətɪv/
[ADJ]
If a series of events have a cumulative effect, each event makes the effect greater.
It is simple pleasures, such as a walk on a sunny day, which have a cumulative effect on our mood...
cumulatively [ADV]
His administration was plagued by one petty scandal after another, cumulatively very damaging.

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