Abstract

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, "m"th "g - gonal" numbers and the Fibonacci series are demonstrated. (Contains 4 tables.)

Citation

Asiru, M.A. (2008). Sequences with M-Bonacci Property and Their Finite Sums. International Journal of Mathematical Education in Science and Technology, 39(6), 819-829. Retrieved August 7, 2024 from https://www.learntechlib.org/p/166599/.

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Keywords

• Arithmetic
• Generalization
• Mathematical Formulas
• Mathematical Logic
• Mathematics Instruction
• Numbers
• problem solving
• Psychometrics
• Validity