Longman Dictionary of Contemporary English
Wiktionary
n. (context analysis English) A sequence in which each term except the first is obtained from the previous by multiplying it by a constant value, known as the common ratio of the geometric progression.
WordNet
n. (mathematics) a progression in which each term is multiplied by a constant in order to obtain the next term; "1-4-16-64-256- is the start of a geometric progression"
Wikipedia
In mathematics, a geometric progression, also known as a geometric sequence, is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio. For example, the sequence 2, 6, 18, 54, ... is a geometric progression with common ratio 3. Similarly 10, 5, 2.5, 1.25, ... is a geometric sequence with common ratio 1/2.
Examples of a geometric sequence are powers r of a fixed number r, such as 2 and 3. The general form of a geometric sequence is
a, ar, ar, ar, ar, …
where r ≠ 0 is the common ratio and a is a scale factor, equal to the sequence's start value.
Usage examples of "geometric progression".
The necessity of avoiding pain is a factor because degree by degree, little things, not much in themselves, can amount to large pains which, compounded in that rapid geometric progression, bring on death.
The rest of the trash was comprised of wadded-up pieces of paper containing mathematical equations relating to the geometric progression of the city-building, which seemed to relate to the time it would take to fill the entire planet with city.
This helped me to define the coefficient of my formula with great precision, inasmuch as the rate of cancer mortality increases by an arithmetic rather than a geometric progression as we trace its passage from the enclave into the adjacent regions.
All I had to do was get Agnieshka and Eva physically installed, and they could duplicate their programs into some of the machines around me, and have those machines duplicate themselves some more, and with a nice geometric progression going, the job would be done in no time!
She recalled the geometric progression of agony each new setting brought.
The pulses will continue, and continue their geometric progression, regardless.