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sequence in arithmetic progression

 

Definitions from the Web

Term: Sequence in Arithmetic Progression

Description:

A sequence in arithmetic progression is a list of numbers in which the difference between any two consecutive terms remains constant. In other words, each term is obtained by adding (or subtracting) a fixed number called the common difference to the preceding term. This type of sequence is commonly used in mathematics, especially in algebra and number theory.

Senses:
Sense 1:

In mathematics, a sequence in arithmetic progression refers to a specific pattern of numbers where the difference between any two consecutive terms is constant. This type of sequence can be represented by the formula: a_n = a_1 + (n-1)d, where a_n is the nth term, a_1 is the first term, and d is the common difference.

Example: The sequence 2, 5, 8, 11, 14 is an arithmetic progression with a common difference of 3.

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Sense 2:

The term "sequence in arithmetic progression" can also be used in a more general context to describe any ordered list of items, events, or actions that follow a consistent pattern or order.

Example: The choreography of the dance routine showcased a sequence in arithmetic progression, ensuring a visually appealing performance.

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