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dc.contributor.authorVenkatachalam, R.-
dc.contributor.authorSharma, U.C.-
dc.date.accessioned2024-11-26T04:46:45Z-
dc.date.available2024-11-26T04:46:45Z-
dc.date.issued2003-01-
dc.identifier.citation10.7227/IJMEE.31.en_US
dc.identifier.urihttp://localhost:8080/xmlui/handle/123456789/1762-
dc.descriptionNITWen_US
dc.description.abstractConvenient formulae for finding the sums of kth power of the first n natural numbers may be useful in some engineering applications. The formulae for k = 1, 2, and 3, are commonly found in the literature. In this paper, an attempt is made to develop a general algorithm for finding the sum for any positive integer value of k. The development of the algorithm is entirely an engineering approach, based purely on a simple geometric interpretation and does not involve any deep mathematics. This algorithm may be used to derive the formulae for different values of k. Some of the possible engineering applications of these formulae are also discussed.en_US
dc.language.isoenen_US
dc.publisherInternational Journal of Mechanical Engineering Educationen_US
dc.subjectsumen_US
dc.subjectgeometric interpretationsen_US
dc.subjectpowers of natural numbersen_US
dc.subjectgeneral algorithmen_US
dc.titleAn Engineer's Approach to a General Algorithm for Finding the Sum of Powers of Natural Numbersen_US
dc.typeArticleen_US
Appears in Collections:Mechanical Engineering

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