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- Title
A CONCATENATION OF CONSECUTIVE FIBONACCI AND LUCAS NUMBERS: A LESSON IN PATTERNS OF DIVISIBILITY AND PROOF.
- Authors
MOORE, THOMA
- Abstract
The article discusses the Fibonacci numbers and Lucas sequence as a series of consecutive digits that may be divisible by specific figures. The method of examining concatenating terms may be executed through proof by mathematical induction such that the results lead to triangular numbers. Inductive reasoning may be inculcated to the students as they learn and evaluate mathematical concepts and relationships. An overview of the problem is also presented.
- Subjects
FIBONACCI sequence; LUCAS sequence; REASONING; MATHEMATICS education; MATHEMATICS problems &; exercises
- Publication
Ontario Mathematics Gazette, 2013, Vol 52, Issue 1, p34
- ISSN
0030-3011
- Publication type
Article