Explore the continued fraction: 2+3/(2+3/(2+3/2+...)) What do you
notice when successive terms are taken? What happens to the terms
if the fraction goes on indefinitely?
Two brothers were left some money, amounting to an exact number of
pounds, to divide between them. DEE undertook the division. "But
your heap is larger than mine!" cried DUM...
Which rational numbers cannot be written in the form x + 1/(y +
1/z) where x, y and z are integers?
This problem is taken from the UKMT Mathematical Challenges.View the archive of all weekly problems grouped by curriculum topic