Skip over navigation
Litov's Mean Value Theorem
Age 11 to 14
Challenge Level 
What happens if you reverse the two original numbers?
Try starting with $2, 8$ instead of $8, 2$.
What happens if you keep one of the starting numbers constant and only change the other?
It might be faster to use a spreadsheet or to write a short program to help you identify the limiting value (the value you get if you continue this process indefinitely).
Keep a record of your results.
Share your results.
Test out your ideas.
Try starting with $2, 8$ instead of $8, 2$.
What happens if you keep one of the starting numbers constant and only change the other?
It might be faster to use a spreadsheet or to write a short program to help you identify the limiting value (the value you get if you continue this process indefinitely).
Keep a record of your results.
Share your results.
Test out your ideas.
You may also like
Bat Wings
Two students collected some data on the wingspan of bats, but each lost a measurement. Can you find the missing information?
Kate's Date
When Kate ate a giant date, the average weight of the dates decreased. What was the weight of the date that Kate ate?
Balancing the Books
How many visitors does a tourist attraction need next week in order to break even?