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Mathematical Induction

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Author:Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
Description: A brief discussion of mathematical induction, with proof, and other examples also proven by mathematical induction, including: Splitting piles; Continued Fractions; Linear Functions; Groups of Permutations; Inequality between arithmetic and geometric means; Breaking Chocolate Bars; Diagonal Count; A pigeonhole principle complements math induction; Euclid's Algorithm; Solitaire on the Circle; Sierpinski Gasket; Farey series; A Geometric Illustration of a Convergent Series; Infinite Latin Squares; Josephus problem; Cutting Squares; and A Problem on an Infinite Checkerboard.

Levels: High School (9-12), College
Languages: English
Resource Types: Problems/Puzzles
Math Topics: Permutations/Combinations, Fractals, Euclidean Plane Geometry, Logic/Foundations, Number Theory

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