Invention and utilization of epoch of Kifilideen sum formula for Kifilideen general matrix progression series of infinite terms in solving word problems Epoch of Kifilideen’s sum formula for Kifilideen’s general matrix progression series of infinite terms in solving real-world problems
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Abstract
Kifilideen’s general matrix progression series of infinite terms is the summation of values of a collection of progressive members of the numbers series system. The number series system or set has endless terms where terms are progressive into levels and steps (within level) with increasing members set in successive levels and just one member in the first level. This kind of series is needed in determining the overall value(s) of the collection in the progressive members of the system which is/are useful for budgeting, analyzing, accounting, allocating and planning the system of arrangement that adopts such series. This study invented and applied the epoch of Kifilideen’s Sum Formula for Kifilideen’s General Matrix Progression Series of infinite terms in solving real-world problems. The mathematical induction of sum formulas of bi–numbers product progression series was formulated and established. These sum formulas obtained were incorporated into inventing Kifilideen’s Sum Formula for Kifilideen’s General Matrix Progression Series of infinite terms. The Kifilideen’s Sum Formula invented in this paper and Kifilideen’s Components Formulas of the Kifilideen’s general matrix progression sequence of infinite terms were used in conjunction to proffer solutions to real-world problems. The established Kifilideen’s Sum Formula for Kifilideen’s General Matrix Progression Series of infinite terms provides an easy and fastening process of finding the summation and evaluation of the overall value(s) of collection of progressive members of the Kifilideen’s General Matrix Progression Series of infinite terms.
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References
References
Bird, J. (2003). Engineering Mathematics (6th ed., 608 pp). Linacre House, Jordan Hill, Oxford OX2 8DP 200
Wheeler Road, Burlington MA 01803, Ontario, Canada, North American: Newnes, Oxford, An imprint of Elsevier
Science. https://www.amazon.com/Engineering-Mathematics-sixth-Bird-John/dp/B00BTM1OYO
Brown, P. (2013). Sequences and Series: A Guide for Teachers (Years 11 -12) (34 pp)
Bunday, B. D. and Mulholland, H. (2014). Pure Mathematics for Advanced Level (2nd ed., 526pp). McGraw Hill,
United State: Elsevier Science Publisher.
https://books.google.com.ng/books/about/Pure_Mathematics_for_Advanced_Level.html?id=02_iBQAAQBAJ
Fowler, J., & Snapp, B. (2014). Sequences and Series (147 pp). Mooculus Massive Open Online Calculus,
Department of Mathematics, University of Aegean, Mediterranean Sea.
Jones, K. (2011). The Topic of Sequences and Series in the Curriculum and Textbooks for Schools in England: A
Way to Link Number, Algebra and Geometry [Paper Presentation]. International Conference on School Mathematics
Textbooks, East China Normal University, Shanghai, China.
Macrae, M. F., Kalejaiye, A. O., Chima, Z. I., Garba, G. U., & Ademosu, M. O. (2001). New General Mathematics
for Senior Secondary Schools 2 (3rd Ed., 252 pp). Harlow, England: Longman Publisher.
Osanyinpeju, K. L. (2020a). Development of Kifilideen Trinomial Theorem Using Matrix Approach. International
Journal of Innovations in Engineering Research and Technology, 7 (7): 117-135.
https://doi.org/10.5281/zenodo.5794742
Osanyinpeju, K. L. (2020b). Utilization of Kifilideen Trinomial based on Matrix Approach in Computation of the
Power of Base of Tri-Digits Number. International Conference on Electrical Engineering Applications (ICEEA
, Department of Electrical Engineering, Ahmadu Bello University, Zaria, Kaduna State, September 23-25
Nigeria. https://doi.org/10.5281/zenodo.5804915
Osanyinpeju, K. L. (2021). Inauguration of Negative Power of − of Kifilideen Trinomial Theorem using
Standardized and Matrix Methods. Acta Electronica Malaysia, 5 (1): 17-23.
https://uilspace.unilorin.edu.ng/handle/20.500.12484/7407.
Osanyinpeju, K. L. (2022a). Inauguration of Kifilideen Theorem of Matrix Transformation of Negative Power of –
n of Trinomial Expression in which Three Variables x, y and z are Found in Parts of the Trinomial Expression with
some other Applications. Selforganizology, 9 (1-2): 17-34.
https://uilspace.unilorin.edu.ng/handle/20.500.12484/7406
Osanyinepju, K.L. (2022b). Derivation of Formulas of the Components of Kifilideen Trinomial Expansion of
Positive Power of 푵 with other Developments. Journal of Science, Technology, Mathematics and Education
(JOSTMED) 18(1): 77-97.
Rice, K., and Scott, P. (2005). Carl Friedrich Gauss. Amt, 61(4), 1-5. https://files.eric.ed.gov/fulltext/EJ743572
Stroud, K. A., & Booth, D. J. (2007). Engineering Mathematics (6th Ed., 1288 pp). London, UK: Palgrave
Publisher. https://www.amazon.com/Engineering-Mathematics-K-Stroud/dp/1403942463
Pontes, E. A. S., Silva, R. C. G., Pontes, E. G., and Silva, L. M. (2020). A Generality of Mathematics Thought by
Carl Friedrich Gauss through his Contributions to Science. American Journal of Engineering Research, 9(4), 246-