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Fibonacci properties by matrix methods

Published online by Cambridge University Press:  22 September 2016

J. R. Silvester
J. R. Silvester*
Affiliation:
Department of Mathematics, University of London, King’s College, Strand, London WC2R 2LS
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Extract

The Fibonacci sequence

0, 1, 1, 2, 3, 5, 8, 13, …

is defined by u0 = 0, u1 = 1, and un = un−1 + un−2 for . There are many elementary formulae relating the various un, most of which, since the sequence is defined inductively, are themselves usually proved by induction.

Type
Research Article
Information
The Mathematical Gazette , Volume 63 , Issue 425 , October 1979 , pp. 188 - 191
Copyright
Copyright © Mathematical Association 1979

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References

1. Hardy, G. H. and Wright, E. M., An introduction to the theory of numbers (4th edition). Oxford University Press (1960).Google Scholar