Forgot password? New user? Sign up
Existing user? Log in
Let f(n)=11+2+12+3+13+4…1n+n+1.f(n) = \frac {1}{ \sqrt{1} + \sqrt{2}} + \frac {1}{\sqrt{2} + \sqrt{3}} + \frac {1}{\sqrt{3} + \sqrt{4}} \ldots \frac{1}{\sqrt{n}+\sqrt{n+1}}. f(n)=1+21+2+31+3+41…n+n+11.
For how many positive integers nnn, in the range 1≤n≤10001 \leq n \leq 1000 1≤n≤1000, is f(n)f(n)f(n) an integer?
This problem is posed by Thaddeus A.
Problem Loading...
Note Loading...
Set Loading...