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An identity for the Fibonacci and Lucas numbers

Published online by Cambridge University Press:  18 May 2009

Derek Jennings
Derek Jennings
Affiliation:
4 Barford CloseNorth Millers DaleChandlers FordHampshire 505 1TH England
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In this paper we prove an identity between sums of reciprocals of Fibonacci and Lucas numbers. The Fibonacci numbers are defined for all n ≥ 0 by the recurrence relation Fn + 1 = Fn + Fn-1 for n ≥ 1, where F0 = 0 and F1 = 0. The Lucas numbers Ln are defined for all n ≥ 0 by the same recurrence relation, where L0 = 2 and L1 = 1 We prove the following identify.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 35 , Issue 3 , September 1993 , pp. 381 - 384
Copyright
Copyright © Glasgow Mathematical Journal Trust 1993

References

REFERENCES

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