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Harmonic Triangle
Age 14 to 16
Challenge Level 
Congratulations to Alice who sent in a correct solution to this problem:
Congratulations to Ray who also worked on this problem and sent us the following result:
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There's a Limit
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?
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Which rational numbers cannot be written in the form x + 1/(y + 1/z) where x, y and z are integers?