Arithmetic Progression (Noun)
Meaning
(mathematics) a progression in which a constant is added to each term in order to obtain the next term; "1-4-7-10-13- is the start of an arithmetic progression".
Classification
Nouns denoting groupings of people or objects.
Examples
- The sequence of numbers 2, 5, 8, 11, 14 is an example of an arithmetic progression with a common difference of 3.
- The arithmetic progression 1, 4, 7, 10, 13, ... can be extended indefinitely by adding 3 to the previous term to obtain the next term.
- In the arithmetic progression 3, 6, 9, 12, 15, ..., the common difference of 3 remains constant between each term.
- The term "arithmetical mean" refers to the average of two numbers that form a middle term in an arithmetic progression.
- When graphed, an arithmetic progression forms a straight line with a constant slope, often illustrating a linear relationship between the terms.