Let us consider the sum of n integers. If each integer value is the length of a bar, the sum is the collection of bars, which is the two-dimensional area. In other words, the sum of n integers should be a quadratic expression of n. It is easy to identify the coefficients of this quadratic expression. Similarly, let us consider the sum of n square numbers. If each square number value is taken as area, the sum is the collection of areas, which is the three-dimensional volume. In other words, the sum of n square numbers should be a cubic expression of n. It is easy to identify the coefficients of this cubic expression. As shown above, various sums can be easily calculated using dimensions.

sum calculation, dimensions.

Received: November 10, 2023; Accepted: November 29, 2023; Published: December 9, 2023

How to cite this article: Chuya Fukuda, Simple sum calculation using dimensions, Far East Journal of Mathematical Education 25 (2023), 63-69. http://dx.doi.org/10.17654/0973563123017

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