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About

 

For Teachers

Translations

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Software Requirements

SoftwareRequirements


Android iOS Windows MacOS
with best with Chrome Chrome Chrome Chrome
support full-screen? Yes. Chrome/Opera No. Firefox/ Samsung Internet Not yet Yes Yes
cannot work on some mobile browser that don't understand JavaScript such as.....
cannot work on Internet Explorer 9 and below

 

Credits

Dieter Roess - WEH- Foundation; Tan Wei Chiong; Loo Kang Wee

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Sample Learning Goals

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For Teachers

A geometric sequence is a number sequence of the form
a,\ ar,\ ar^{2},\ ar^{3},\ ar^{4},\ \ldots ,
where a is the first term of the sequence, and r is a constant, also called the common ratio.

On the other hand, a geometric series is written as the sum of the terms in the sequence as such:
a+ar+ar^{2}+ar^{3}+\cdots ,
where the terms of the sum continue indefinitely.

This simulation sets the first term of the sequence to be 1, and the common ratio in the simulation is denoted as a. From here on, a will denote the common ratio used in the simulation.

There are 3 graphs in the simulation. The leftmost graph plots the first 20 terms of the geometric sequence, the center graph plots the partial sum of those 20 terms, and the rightmost graph plots the limit of the series as the common ratio achanges.
The red arrow in the center graph denotes the limit of the partial sums as the number of terms approach infinity.

The common ratio, a, can be changed using the slider at the top of the simulation, and the field to the right of the slider displays the limit that the sum approaches (1/(1-a) for |a|<1).

The combo box allows you to toggle the array display between showing the terms of the sequence and the partial sums up to a certain term.

Research

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Video

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 Version:

  1. http://weelookang.blogspot.sg/2016/02/vector-addition-b-c-model-with.html improved version with joseph chua's inputs
  2. http://weelookang.blogspot.sg/2014/10/vector-addition-model.html original simulation by lookang

Other Resources

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