Far East Journal of Mathematical Education

The Far East Journal of Mathematical Education is a peer-reviewed journal focused on mathematical education. It publishes research papers that enhance understanding of mathematical concepts and encourages the use of technology, statistics, algorithms, and simulations in mathematics learning.

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SIMPLE SUM CALCULATION USING DIMENSIONS

Authors

  • Chuya Fukuda

Keywords:

sum calculation, dimensions.

DOI:

https://doi.org/10.17654/0973563123017

Abstract

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.

Received: November 10, 2023
Accepted: November 29, 2023

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Published

09-12-2023

Issue

Vol. 25 (2023)

Section

Articles

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How to Cite

SIMPLE SUM CALCULATION USING DIMENSIONS. (2023). Far East Journal of Mathematical Education, 25, 63-69. https://doi.org/10.17654/0973563123017