Geometric Progression (Noun)
Meaning
(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".
Classification
Nouns denoting groupings of people or objects.
Examples
- The population growth can be modeled as a geometric progression, with each year's population being twice that of the previous year.
- In a geometric progression, each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.
- A savings account with a 10% annual interest rate will have a geometric progression of increasing balance over the years.
- This series, 1-2-4-8-16, forms a geometric progression, as each number is obtained by multiplying the preceding one by two.
- Mathematicians have found many practical applications of geometric progression in the study of growth patterns in biology and finance.