Stacking the Geogebra Logo - Geometric Series

This is a second version of another sketch I made stacking an image of my head instead of the logo. That can be found here: [url]http://www.geogebratube.org/material/show/id/3668[/url] My pre-Calculus students were having trouble visualizing what it meant for a geometric series to converge. They understood the formula aspect and how to calculate the value of a convergent sum, and saw what it meant for numbers adding successively, but I knew there had to be a way to show them. I had visited Russia with my wife during the winter holidays and saw some amazing arrangements of stacking dolls. I thought at the time about the concept of common ratio, but didn't think about its application to series. Later on, when Dan Meyer posted about a video about stacking dolls (<url>http://blog.mrmeyer.com/?p=10211</url>) I realized this was a perfect way to present and explore convergence.

 

weinbergmath

 
Resource Type
Activity
Tags
convergence  divergence  geogebra  geometric  infinite  logo  series  stacking 
Target Group (Age)
15 – 18
Language
English (United Kingdom)
 
 
GeoGebra version
3.2
Views
2618
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