SOLUTION: Show that (1/((1)^(1/2))) + (1/((2)^(1/2)))+(1/((3)^(1/2)))+....+(1/((n)^(1/2)))<2(n)^(1/2) for all positive integers.

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: Show that (1/((1)^(1/2))) + (1/((2)^(1/2)))+(1/((3)^(1/2)))+....+(1/((n)^(1/2)))<2(n)^(1/2) for all positive integers.      Log On

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Question 30466: Show that (1/((1)^(1/2))) + (1/((2)^(1/2)))+(1/((3)^(1/2)))+....+(1/((n)^(1/2)))<2(n)^(1/2) for all positive integers.
Answer by khwang(438) About Me  (Show Source):
You can put this solution on YOUR website!
Should be easy by Math Induction, since your term of the right hand
side may have mistake(too big) that I cannot solve for you here.
Kenny