Infinite number of squares inside a square

dc.contributor	Universidade Estadual Paulista (UNESP)
dc.creator	Kabai, Sándor
dc.date	2016-10-26T17:47:25Z
dc.date	2016-10-26T17:47:25Z
dc.date.accessioned	2017-04-06T11:35:33Z
dc.date.available	2017-04-06T11:35:33Z
dc.identifier	http://acervodigital.unesp.br/handle/unesp/360543
dc.identifier	http://objetoseducacionais2.mec.gov.br/handle/mec/5092
dc.identifier.uri	http://repositorioslatinoamericanos.uchile.cl/handle/2250/956825
dc.description	Series, Calculus and Analytic Geometry
dc.description	A series of squares are aligned along the diagonal of a unit square. Each square has edge length half the size of the previous square and is attached to the previous square at a corner. The sum of the areas of this series of squares is ¼+1/16+...+1/(2^2n). As n tends to infinity the sum converges to 1/3, as three such series fill the unit square. This is one way to see that the sum of the infinite series 1/(2^2n) is 1/3
dc.description	Componente Curricular::Educação Superior::Ciências Exatas e da Terra::Matemática
dc.publisher	Wolfram Demonstration Project
dc.relation	InfiniteNumberOfSquaresInsideASquare.nbp
dc.rights	Demonstration freeware using Mathematica Player
dc.subject	Series
dc.subject	Calculus
dc.subject	Analytic geometry
dc.subject	Educação Superior::Ciências Exatas e da Terra::Matemática::Matemática Aplicada
dc.title	Infinite number of squares inside a square
dc.type	Otro