Adverb
In a way characterized by addition (of increments) rather than multiplication (by factors) or exponentiation (by exponents): by an arithmetic progression.
Usage- of the nature of increases or decreases
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More examples (1)
Over the past decade the business has grown arithmetically, which shows that it is serving a demand successfully; but because it has not grown exponentially, its growth is viewed by some investors as "not good enough."
In terms of arithmetic.
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The two terms are arithmetically equivalent, but they are not equally intuitive regarding what phenomenon they represent in the real world.
Adverb
with respect to arithmetic
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this problem is arithmetically easy