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Reciprocals task

Generating the reciprocals

The reciprocals sequence is:

1, 1/2, 1/3, 1/4, 1/5, ....

It is interesting because it gets smaller and smaller, forever, but never goes below 0.
But what about its running totals (or Partial sums)? What happens if we sum more and more terms of this sequence?
To investigate that, we first have to generate the sequence.

 

The Divide robot

To help you get started, we've created this robot called Divide:


 
Click on the picture to open it in ToonTalk. First, run the robot on the floor and explain what it does:

Converting Divide to Reciprocals

Next, explain what needs to be changed so that this robot will generate the reciprocals:

My Reciprocals robot

Finally, retrain the robot to generate the reciprocals , and add it to your report.





Once you've completed this task, move on to the Harmonic Series task.