This is a lovely way to teach induction and proofs as part of a class. I personally prefer the dragon version of this problem. An elegant solution is provided

This is a lovely way to teach induction and proofs as part of a class. I personally prefer the dragon version of this problem. An elegant solution is provided here. https://www.physics.harvard.edu/uploads/files/undergrad/probweek/sol2.pdf https://www.physics.harvard.edu/uploads/files/undergrad/prob...