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If 2/3*3/4*4/5* ... * n/(n+1) = 1/500, what is the sum of the numerator and denominator of the largest fraction on the left side of the equation?

 May 9, 2021
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Note that everything cancels out so that the final equation is 2/(n+1). 

2/(n+1) = 1/500

Can you take it from here?

 

=^._.^=

 May 9, 2021

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