Some generalized results related to Fibonacci sequence
Abstract: Cassini's identity states that for the n th Fibonacci number F n+1 F n-1 -F n 2 =(-1) n . We generalize Fibonacci sequence in terms of the number of sequences. Fibonacci sequence is the particular case of generating only one sequence. This generalization is used to generalize Ca...
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| Autores principales: | , |
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| Lenguaje: | English |
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Universidad Católica del Norte, Departamento de Matemáticas
2021
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| Materias: | |
| Acceso en línea: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172021000300605 |
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| Sumario: | Abstract: Cassini's identity states that for the n th Fibonacci number F n+1 F n-1 -F n 2 =(-1) n . We generalize Fibonacci sequence in terms of the number of sequences. Fibonacci sequence is the particular case of generating only one sequence. This generalization is used to generalize Cassini’s identity. Moreover we prove few more results which can be seen as generalized form of the results which hold for Fibonacci sequence. |
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