The cautions involved in determining the coefficients that represent the power expansions for the sums of integers using the undetermined coefficient method are presented. The meaning of the determined coefficients is discussed from the viewpoint of the weighted average, which can be considered a generalisation or abstraction of the concept of the centre of mass in mechanics. This view is related to cross-curricular learning between mathematics and physics through the formulas of the sums of integers.

formulas of sums of integers, weighted average, centre of mass, moment of force, pictorial proof

Received: March 29, 2024;  Accepted: May 11, 2024; Published: May 28, 2024

How to cite this article: Yukio Kobayashi, Supplementary remarks on simple sum using dimensions - from viewpoint of connection to physics based on weighted average, Far East Journal of Mathematical Education 26(1) (2024), 55-70. http://dx.doi.org/10.17654/0973563124007

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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