Questions to Consider
What did you notice about the sequence of numbers generated from these three simple rules?
What might explain the behavior of the sequence of numbers that are generated using the three rules?
Why do you think mathematicians refer to these sequences as "Hailstone Sequences"?
Try creating your own unique set of expressions/rules. What happens as a result?
Check out the two videos below of professional mathematicans exploring the Hailstone Sequence (Collatz Conjecture)