arithmetic progression

Also known as arithemtic sequence, arithmetic sequence, linear sequence, equally spaced sequence, regularly spaced sequence

sequence of numbers with constant differences between consecutive numbers

AI overview

An arithmetic progression is a sequence of numbers where the difference between any two consecutive numbers is always the same. This pattern appears frequently in mathematics and real-world situations, making it useful for understanding how quantities change at a steady rate.

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Image: Arithmetic progression.svg

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Article

Proof without words of the arithmetic progression formulas using a rotated copy of the blocks. An arithmetic progression, arithmetic sequence or linear sequence is a sequence of numbers such that the difference from any succeeding term to its preceding term remains constant throughout the sequence. The constant difference is called common difference of that arithmetic progression. For instance, the sequence 5, 7, 9, 11, 13, 15, ... is an arithmetic progression with a common difference of 2.

If the initial term of an arithmetic progression is