IJTEEE
International Journal of Technology Enhancements and Emerging Engineering Research (ISSN 2347-4289)
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IJTEEE >> Volume 2 - Issue 4, April 2014 Edition



International Journal of Technology Enhancements and Emerging Engineering Research  
International Journal of Technology Enhancements and Emerging Engineering Research

Website: http://www.ijteee.org

ISSN 2347-4289



Deriving A Formula In Solving Fibonacci–Like Square Sequences

[Full Text]

 

AUTHOR(S)

Kiran Singh Sisodiya, Vandana Gupta, Kiran Sisodiya

 

KEYWORDS

Key words: Fibonacci Sequence,Fibonacci like Sequence,Missing terms,Binet`sformula

 

ABSTRACT

Abstract: The coupled Fibonacci Sequences are first Introduced by K.T.Atanassov in 1985.Sequences have been fascinating topic for mathematics for centuries. Inclusion of missing terms in arithmetic, harmonic and geometric sequence has been formulated for a long time. other sequences like Fibonacci and Lucas Sequences could be solved using the Binet`s formula. In this paper, Derivation of formula in solving Fibonacci-like Square Sequence ,a derivative of Fibonacci Sequence, will be shown by finding important patterns from basic formula integrating with Binet`s Formula. Finding of missing terms in Fibonacci-Like square sequence will be answered easily using this formula

 

REFERENCES

[1]. J.Z.Lee and J.S.Lee, Some properties of the generalization of the Fibonacci sequence, The Fibonacci Quarterly,25(1987),111-117

[2]. K.Atanassov,On a generalization of the Fibonacci sequence in the case of three sequences, The Fibonacci Quarterly 27(1989),7-10.

[3]. B.Singh and O.Sikhwal, Multiplicative coupled Fibonacci sequences and some fundamental properties, International Journal of Contemporary Mathematical Sciences, Vol.5, No.5 (2010), 223-230

[4]. K.T.Atanassov, V.Atanassov, A.G.Shannon and J.C.Turner, New visual perspectives on Fibonacci numbers, world Scientific,2002.