Use the tools in this notebook (and any others you need) to explore the questions below:




 

The million-divide-by-three sequence

Which sequence would you get by giving this input box to the Apply robot?



Plot the sequence graph in Excel and add the graph here:


How would you describe this graph to a friend over the phone?


Connect this sequence to the Add Up robot, to see its running totals. What can you say about the sequence of running totals?


Plot the running totals in Excel, and add the graph here:


How would you describe this graph to a friend over the phone?


 

Can you change only the "Current" value in the input box so that the sequence diverges (does not converge)?

 

Can you change only the "Current" value in the input box so that the running totals of the sequence diverge (does not converge)?

Use the Add Up robot to obtain the running totals.



 

Can you change only the "<-Apply" value in the input box so that the sequence diverges (does not converge)?

 

Can you change only the "<-Apply" value in the input box so that the running totals of the sequence diverge (does not converge)?

Use the Add Up robot to obtain the running totals.