Arithmetic progressions of higher order

A tétel rövid nézete
dc.contributor.authorDlab, Vlastimil
dc.date.accessioned2024-09-04T09:46:35Z
dc.date.available2024-09-04T09:46:35Z
dc.date.issued2011-12-01
dc.description.abstractThe aim of this article is to clarify the role of arithmetic progressions of higher order in the set of all progressions. It is important to perceive them as the pairs of progressions closely connected by simple relations of differential or cumulative progressions, i.e. by operations denoted in the text by r and s. This duality affords in a natural way the concept of an alternating arithmetic progression that deserves further studies. All these progressions can be identified with polynomials and very special, explicitly described, recursive progressions. The results mentioned here point to a very close relationship among a series of mathematical objects and to the importance of combinatorial numbers; they are presented in a form accessible to the graduates of secondary schools.en
dc.formatapplication/pdf
dc.identifier.citationTeaching Mathematics and Computer Science, Vol. 9 No. 2 (2011) , 225-239
dc.identifier.doihttps://doi.org/10.5485/TMCS.2011.0281
dc.identifier.eissn2676-8364
dc.identifier.issn1589-7389
dc.identifier.issue2
dc.identifier.jatitleTeach. Math. Comp. Sci.
dc.identifier.jtitleTeaching Mathematics and Computer Science
dc.identifier.urihttps://hdl.handle.net/2437/379707
dc.identifier.volume9
dc.languageen
dc.relationhttps://ojs.lib.unideb.hu/tmcs/article/view/14897
dc.rights.accessOpen Access
dc.rights.ownerVlastimil Dlab
dc.subjectarithmetic progressionsen
dc.subjectpolynomialsen
dc.subjectrecursive progressionsen
dc.titleArithmetic progressions of higher orderen
dc.typefolyóiratcikkhu
dc.typearticleen
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Teaching Mathematics and Computer Science (DE-journals)