Words similar to successively

Example sentences for: successively

How can you use “successively” in a sentence? Here are some example sentences to help you improve your vocabulary:

It passed successively into the hands of the French West Indies Trading Company (to store its spices), the British, and, during their brief occupation of the city in 1775, the American generals Richard Montgomery and Benedict Arnold.
After the first round, the stringency of each succeeding round of site selection was increased by using successively less (0.
They were conquered successively by Carthaginians, Romans, Vandals, Christians, and Moors.
It is similar, in principle, to finding a synonym in a synonym dictionary and then successively looking up its synonyms to find their synonyms.
As for challenges, I am currently looking for a word that can be cut into two successively smaller forms.