An Elementary Difference-Matrix Evaluation of the Series ...
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| Title: | An Elementary Difference-Matrix Evaluation of the Series ... |
|---|---|
| Authors: | Imaninezhad, Mahdi1 |
| Source: | Ohio Journal of School Mathematics. Spring2026, Vol. 102, p75-80. 6p. |
| Subject Terms: | Infinite series (Mathematics), Finite differences, Difference operators, Combinatorics, Arithmetic, Multiplication |
| Abstract: | We present a fully elementary method for evaluating the infinite series ... where k is a fixed natural number. The method relies only on repeated scaling, term-by-term subtraction, and the systematic use of finite differences. No tools from calculus, generating functions, or special functions are required. Starting from explicit computations for k = 1, 2, 3, 4, we show how a stable pattern emerges and how this pattern can be described and proved using a difference matrix. Finally, we present an interesting combinatorial identity. [ABSTRACT FROM AUTHOR] |
| Copyright of Ohio Journal of School Mathematics is the property of Ohio Council of Teachers of Mathematics and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Education Research Complete |
| FullText | Links: – Type: pdflink Text: Availability: 0 |
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| Header | DbId: ehh DbLabel: Education Research Complete An: 194541053 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: An Elementary Difference-Matrix Evaluation of the Series ... – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Imaninezhad%2C+Mahdi%22">Imaninezhad, Mahdi</searchLink><relatesTo>1</relatesTo> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Ohio+Journal+of+School+Mathematics%22">Ohio Journal of School Mathematics</searchLink>. Spring2026, Vol. 102, p75-80. 6p. – Name: Subject Label: Subject Terms Group: Su Data: <searchLink fieldCode="DE" term="%22Infinite+series+%28Mathematics%29%22">Infinite series (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Finite+differences%22">Finite differences</searchLink><br /><searchLink fieldCode="DE" term="%22Difference+operators%22">Difference operators</searchLink><br /><searchLink fieldCode="DE" term="%22Combinatorics%22">Combinatorics</searchLink><br /><searchLink fieldCode="DE" term="%22Arithmetic%22">Arithmetic</searchLink><br /><searchLink fieldCode="DE" term="%22Multiplication%22">Multiplication</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: We present a fully elementary method for evaluating the infinite series ... where k is a fixed natural number. The method relies only on repeated scaling, term-by-term subtraction, and the systematic use of finite differences. No tools from calculus, generating functions, or special functions are required. Starting from explicit computations for k = 1, 2, 3, 4, we show how a stable pattern emerges and how this pattern can be described and proved using a difference matrix. Finally, we present an interesting combinatorial identity. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Ohio Journal of School Mathematics is the property of Ohio Council of Teachers of Mathematics and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=ehh&AN=194541053 |
| RecordInfo | BibRecord: BibEntity: Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 6 StartPage: 75 Subjects: – SubjectFull: Infinite series (Mathematics) Type: general – SubjectFull: Finite differences Type: general – SubjectFull: Difference operators Type: general – SubjectFull: Combinatorics Type: general – SubjectFull: Arithmetic Type: general – SubjectFull: Multiplication Type: general Titles: – TitleFull: An Elementary Difference-Matrix Evaluation of the Series ... Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Imaninezhad, Mahdi IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 03 Text: Spring2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 24725986 Numbering: – Type: volume Value: 102 Titles: – TitleFull: Ohio Journal of School Mathematics Type: main |
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