Cycles in the Lucas numbers

On the The Mathematics of the Fibonacci Series we saw that the units digits of the Fibonacci numbers repeat in a cycle of length 60 (so that the units digits of F60 - the units digits of F0, and so on for following digits).

• For the Lucas numbers, there is also a cycle of 60 - which is when the last two digits repeat in a cycle.

There is a cycle of units digits in the Lucas numbers, which is much shorter. What is it? How long is it?

Fibonacci - the man and His

Times if Fibonacci Home Page ^ Fibonacci Forgeries! ^ The Lucas Numbers

^ The Golden Section In Art, Architecture and Music

Fibonacci, Phi and Lucas numbers Formulae

Links and References

Dr Ron Knott [email protected] Created: 18 October 1997 Updated: 27 November 1998

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