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# Fracmax

In order to maximise the reciprocals we want to make $p$, $q$ and $r$ as small as possible. What happens when $p\geq 3$? Investigate values for $p=2$.

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Age 14 to 16

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In order to maximise the reciprocals we want to make $p$, $q$ and $r$ as small as possible. What happens when $p\geq 3$? Investigate values for $p=2$.

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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