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Current work deals with the properties of various generalizations of the Fibonacci sequence. This book is divided into four chapters which comprise some important definitions, notations and Number Theoretic results, an introduction to the sequence {Gn }of Generalized Fibonacci numbers and some identities derived from it. It also includes an explicit formula for the nth Generalized Fibonacci number {Gn} and different forms for {Gn} which helps to compute its successor and predecessor. The formula for the number of digits of {Gn } has also been derived in the present work. An interesting combination of the Fibonacci and Lucas sequence, its properties and several identities have also been presented along with it.
About the author
A Dra. Vandana Patel trabalha como professora assistente e directora do departamento de matemática no Sir P. T. Science College, Modasa, desde 2007. Tem mais de 15 anos de experiência de ensino a nível universitário. Publicou uma série de artigos de investigação em revistas nacionais e internacionais. Tem experiência em teoria dos números e topologia.
