11471
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Visual Computation of Three Geometric Sums
Left graphic:
Central graphic:
Right graphic:
Contributed by:
Soledad Mª Sáez Martínez
and
Félix Martínez de la Rosa
Inspired by:
Jonathan Shih
THINGS TO TRY
Rotate and Zoom in 3D
Gamepad Controls
SNAPSHOTS
DETAILS
References:
W. Page, "Proof without Words: Geometric Sums,"
Mathematics Magazine
,
54
(4), 1981 p. 201.
R. Mabry, "Mathematics without Words,"
The College Mathematics Journal
,
32
(1), 2001 p. 19.
R. Mabry, "Proof without Words:
,"
Mathematics Magazine
,
72
(1), 1999 p. 63.
RELATED LINKS
Graphical Representation of Geometric Series
(
Wolfram Demonstrations Project
)
PERMANENT CITATION
"
Visual Computation of Three Geometric Sums
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/VisualComputationOfThreeGeometricSums/
Contributed by:
Soledad Mª Sáez Martínez
and
Félix Martínez de la Rosa
Inspired by:
Jonathan Shih
Share:
Embed Interactive Demonstration
New!
Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site.
More details »
Download Demonstration as CDF »
Download Author Code »
(preview »)
Files require
Wolfram
CDF Player
or
Mathematica
.
Related Demonstrations
More by Author
Sum of a Geometric Series
Soledad Mª Sáez Martínez and Félix Martínez de la Rosa
Graphical Representation of Geometric Series
Jonathan Shih (The Harker School)
Sum of a Telescoping Series
Soledad Mª Sáez Martínez and Félix Martínez de la Rosa
Sum of the Alternating Harmonic Series (II)
Soledad Mª Sáez Martínez and Félix Martínez de la Rosa
Sum of the Alternating Harmonic Series (I)
Soledad Mª Sáez Martínez and Félix Martínez de la Rosa
Sum of a Telescoping Series (II)
Soledad Mª Sáez Martínez and Félix Martínez de la Rosa
Sum of Reciprocals of Triangular Numbers
Soledad Mª Sáez Martínez and Félix Martínez de la Rosa
Convergent Series of Rectangles to Fill a Unit Square
Jeremy Kogan
Plot of a Geometric Sequence and Its Partial Sums
Aaron Dunigan AtLee
Quality of Approximation by Geometric Series
Reinhard Simonovits
Related Topics
Calculus
Plane Geometry
Series
High School Calculus and Analytic Geometry
High School Mathematics
Browse all topics
Related Curriculum Standards
US Common Core State Standards, Mathematics
HSA-SSE.B.4
HSF-BF.A.2
HSF-LE.A.2
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to
Mathematica Player 7EX
I already have
Mathematica Player
or
Mathematica 7+