A generalization of the formula for the triangular number of the sum and product of natural numbers

Author: Asiru, M. A.¹

Source: International Journal of Mathematical Education in Science and Technology, Volume 39, Number 7, October 2008 , pp. 979-985(7)

Publisher: Taylor and Francis Ltd

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Abstract:

This note generalizes the formula for the triangular number of the sum and product of two natural numbers to similar results for the triangular number of the sum and product of r natural numbers. The formula is applied to derive formula for the sum of an odd and an even number of consecutive triangular numbers.

Keywords: triangular numbers; natural numbers; tetrahedral numbers; figurate numbers

Document Type: Research article

DOI: 10.1080/00207390802136503

Affiliations: 1: Department of Mathematics and Statistics, The Federal Polytechnic, Bida 912001, Niger State, Nigeria

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