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The Add-up challenge

You have built a robot that generates a sequence of numbers. Your next task is to add up these numbers…

 

Training Add up

Train a robot to add up all the terms in a sequence. Call your robot Add up.


(Click this picture to get started)
 

After you've constructed the robot, test it with some numbers.
When you've tested it, and verified that it works, save it to this report.

(If you need help, try looking at Help / how to train a robot to add up)

 
 

Chain Add number to Add up

Now use Add up to compute the running totals of the sequence generated by your Add number robot.
To do this, place the output nest from Add number in the first hole of Add up's box.
If you need any help, try the chaining robots tutorial.

What sequence does your chain of robots generate?


 

Explore 

Can you use your robots Add number and Add up  to produce the following sequences?

 

Sequence Explain

 
If yes, explain how you would do it.

If you think it is impossible, explain why.

Add any ToonTalk object that helps support your argument.

1, 3, 6, 10, 15…
 
2, 4, 7, 11, 16,…

 
2, 6, 16, 20, 30,...
 
-1, -3, -6, -10, -15…
 
9, 7, 4, 0, -5…
 
Write down a sequence of your own,
which can be generated by your robot.

 
Write down a second sequence of your own,
which can be generated by your robot.

 
Write down a sequence of your own,
which cannot be generated by your robot.

 

 

Puzzle

Your Add number robot produced the natural numbers (1, 2, 3, 4...). What sequence of numbers would you need to give the Add up robot, so that it produces the natural numbers? How can you use the Add number robot to produce the required sequence?
 

Explain

How would you explain to a friend what kind of sequences can be generated using Add number and Add up and how they can be used to generate those sequences?

How would you describe the sequences that cannot be generated by these robots?

How would you convince a friend of your claims?