Prove that for every integer n (n>1) there exist two positive integers x and y (x≤y) such that 1n=1x(x+1)+1(x+1)(x+2)+⋯+1y(y+1)
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Tags: algebra, equation, egyptian fractions
Prove that for every integer n (n>1) there exist two positive integers x and y (x≤y) such that 1n=1x(x+1)+1(x+1)(x+2)+⋯+1y(y+1)