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Keith Numbers

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Author:Mike Keith
Description: A Keith number is an n-digit integer N with the following property: If a Fibonacci-like sequence (in which each term in the sequence is the sum of the n previous terms) is formed, with the first n terms being the decimal digits of the number N, then N itself occurs as a term in the sequence. For example, 197 is a Keith number since it generates the sequence: 1, 9, 7, 17, 33, 57, 107, 197, ...

Levels: High School (9-12), College
Languages: English
Math Topics: Sequences and Sets

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