Journal Press India^®

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The generalizations of Fibonacci sequence have wide range of properties and applications in every field of science and hybrid science. The Fibonacci sequence has been generalized in nemours ways either with the same initial conditions or by altering the recurrence relation and vis a vis In this regard, we attempted to consummate all relevant and available literature in order to provide readers with a solid foundation for further scientific research for higher order Pell-like sequences. In this paper, we present some results on the generalized Pell sequences and Pell-like sequences of order seven. The generating function, Binet Formula and linear sum for Pell, Pell-Lucas and modified Pell sequences of order seven will be investigated and results on them. Also some well-known identities for order seven will be presented for the same.

Keywords

Generating function; Pell Sequence; Seventh order; Binet Formulae.

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