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Mathematics LibreTexts

4: Mathematical Induction (with Sequences)

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Mathematical induction is a mathematical proof technique that is used to prove that a property P(n) holds for every natural number n, i.e. for n = 0, 1, 2, 3, and so on.

Thumbnail: Mathematical induction can be informally illustrated by reference to the sequential effect of falling dominoes. Image used wtih permission (CC BY-SA 3.0; Pokipsy76).


This page titled 4: Mathematical Induction (with Sequences) is shared under a CC BY-NC-SA 3.0 license and was authored, remixed, and/or curated by Ted Sundstrom (ScholarWorks @Grand Valley State University) via source content that was edited to the style and standards of the LibreTexts platform.

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