Resumen de Sequences with M-bonacci property and their finite sums

Muniru A. Asiru

• 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.