Sequences with M-bonacci property and their finite sums

• Autores: Muniru A. Asiru
• Localización: International journal of mathematical education in science and technology, ISSN 0020-739X, Vol. 39, Nº. 6, 2008, págs. 819-829
• Idioma: inglés
• DOI: 10.1080/00207390801986890
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• Resumen

  • The note introduces sequences having M-bonacci property. Two summation formulas for sequences with M-bonacci property are derived. The formulas are generalizations of corresponding summation formulas for both M-bonacci numbers and Fibonacci numbers that have appeared previously in the literature. Applications to the Arithmetic series, mth g - gonal numbers and the Fibonacci series are demonstrated.