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International Journal of Mathematical Education in Science and Technology Volume 39, 2008 - Issue 7
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Classroom Notes

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

M.A. Asiru Department of Mathematics and Statistics, The Federal Polytechnic, P.M.B.55, Bida 912001, Niger State, NigeriaCorrespondence[email protected]
Pages 979-985 | Received 07 May 2007, Published online: 18 Sep 2008
 
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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.

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