Math Gold Medalist

Lor

Problem 4

Prove that

Related Ideas    Hint    Solution    Similar Problems

Telescoping Sum-Product

Rationalization

1/sqrt(k) = 2/(2sqrt(k))

2/(sqrt(k)+sqrt(k+1))<2/(2sqrt(k))<2/(sqrt(k-1)+sqrt(k))

2014 AIME II Problem 7

   Solution