Education Technology

Mathematics lessons for IB® Diploma Programme

Applications and Interpretation | Numbers and Algebra

Tower of Hanoi

Legend has it that the world will end when the puzzle is complete. Well, the original puzzle consisted of 64 disks, and the monks in the legendary civilization only moved one disk per day. With this in mind, according to the legend, when will the world end? Solve the puzzle, determine the rule for the Geometric recursion relationship, and calculate the number of days required to complete the 64-disk problem.

Planning and Resources


  • Generation of a geometric recursion using a spreadsheet
  • Use the calculator to generate the formula and graph a Geometric Sequence
  • Use accurate mathematical notation.


  • Geometric
  • Recursion
  • Term