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Please use this identifier to cite or link to this item: http://acervodigital.unesp.br/handle/unesp/360543
Title: 
Infinite number of squares inside a square
Author(s): 
Kabai, Sándor
Language: 
eng
Description: 
  • Series, Calculus and Analytic Geometry
  • 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
  • Componente Curricular::Educação Superior::Ciências Exatas e da Terra::Matemática
Issue Date: 
  • 7-Sep-2008
  • 7-Sep-2008
  • 2008
  • 7-Sep-2008
  • 7-Sep-2008
Publisher: 
Wolfram Demonstration Project
Keywords: 
  • Series
  • Calculus
  • Analytic geometry
  • Educação Superior::Ciências Exatas e da Terra::Matemática::Matemática Aplicada
Credits: 
This demonstration needs the "MathematicaPlayer.exe" to run. Found in http://objetoseducacionais2.mec.gov.br/handle/mec/4737
Source: 
http://objetoseducacionais2.mec.gov.br/handle/mec/5092
URI: 
http://acervodigital.unesp.br/handle/unesp/360543
Rights: 
Demonstration freeware using Mathematica Player
Type: 
outro
Appears in Collections:MEC - Objetos Educacionais (BIOE) - OE

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