An Investigation into the Order of Integral Powers of Consecutive Elements of Set of Even and odd Numbers

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Research ID C542A

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Abstract

This article analysed the order of difference of integral perfect powers of the set of even and odd numbers. The analysis was proof by the use of combinatorial terminologies, established property of the difference operator and the principle of mathematical induction. The results proved conclusively that “if any number of consecutive odd or even integers are raised to a positive power k, then the kth difference is equal to 2kk!

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

Not applicable

Data Availability

The datasets used in this study are openly available at [repository link] and the source code is available on GitHub at [GitHub link].

Funding

This work did not receive any external funding.

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  • Classification

    LCC Code: QA214

  • Version of record

    v1.0

  • Issue date

    10 August 2024

  • Language

    English

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