Article
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Arithmetic Sequences without Arithmetic Operations
Version 1
: Received: 13 June 2024 / Approved: 14 June 2024 / Online: 14 June 2024 (08:39:33 CEST)
How to cite: Iqbal, M. S. Arithmetic Sequences without Arithmetic Operations. Preprints 2024, 2024060985. https://doi.org/10.20944/preprints202406.0985.v1 Iqbal, M. S. Arithmetic Sequences without Arithmetic Operations. Preprints 2024, 2024060985. https://doi.org/10.20944/preprints202406.0985.v1
Abstract
The generation of arithmetic sequences involves arithmetic operations. However, is it possible to generate such sequences without being subject to any arithmetic or related operations, all by just hand? The answer may be negative, as the very rule defining these sequences itself relies on arithmetic operations. Nonetheless, this paper presents a few results demonstrating that the exact sequences of $an$, where, $a \in \{ 2,3,\cdots,9,10\}$ and $n \in \mathbb N \cup \{0\}$, can indeed be generated up to any desired number of terms without relying on any arithmetic operations and others derived from such. This is done by the formation of a specialized table that leverages numerical patterns and the notion of concatenation.
Keywords
Number patterns; Arithmetic sequence; Concatenation; Multiplication table; Arithmetic operations; Times table
Subject
Computer Science and Mathematics, Mathematics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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