Title: On the necessary and sufficient conditions and properties of Lucas sequence
Abstract: This paper discussed the Lucas series.The general formula of Lucas sequence was represented with a linear combination of two roots n-th of a two order equation.We obtain a necessary and sufficient condition of general formula of Lucas sequences.On the basis of this,we proved some classical properties of Lucas sequence.At the same time,we discovered some connections of Fibonacci sequence and Lucas sequence.
Publication Year: 2014
Publication Date: 2014-01-01
Language: en
Type: article
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