Exploring convergence
We are exploring sequences that get smaller but do not go below zero.
Such as:
The questions we are looking at are:
For each sequence, our tasks are:
Such as:
- 1, 1/2, 1/3, 1/4, 1/5 ...
- 1, 1/2, 1/4, 1/8/ 1/16...
The questions we are looking at are:
- What is the shape of these sequences, and what does it tell us about them?
- What happens when you sum up the terms of these sequences?
For each sequence, our tasks are:
- Model the sequence in ToonTalk.
- Predict the shape of its graph.
- Use the Excel tool to plot the graph.
- Use the add up robot to generate the running totals of the sequence.
- Predict the shape of the graph of running totals.
- Use the Excel tool to plot the graph.
- Publish a webreport with your findings.