Recursive Function as Relay Question
Most contests have some type of question about recursive sequences. The most famous is the Fibonacci sequence. One video about the Fibonacci sequence is at https://www.youtube.com/watch?v=SjSHVDfXHQ4. This question also involves the use of the greatest integer function. A video on this function is at https://www.youtube.com/watch?v=8DLmNqqia9U .
Relay questions can come in many forms. They typically start with let T = TNYWR (The Number You Will Receive). The idea is you can do a lot of work on solving the problem before you know what T is. Then when you receive T from a teammate, you can finish up your problem and get your answer.
Relays appear on mathleague.org High School competitions and on ARML, www.arml.com, competitions.