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 2 years ago
f(n) = integer nearest sqrt(n)
1/f(1) + 1/f(2) + ...........+1/f(9999) +1/f(10000) = ?
 2 years ago
f(n) = integer nearest sqrt(n) 1/f(1) + 1/f(2) + ...........+1/f(9999) +1/f(10000) = ?

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mahmit2012
 2 years ago
Best ResponseYou've already chosen the best response.0dw:1350239055071:dw

estudier
 2 years ago
Best ResponseYou've already chosen the best response.1That looks promising...

estudier
 2 years ago
Best ResponseYou've already chosen the best response.1Get rid of them nasty radicals as well.....

sara12345
 2 years ago
Best ResponseYou've already chosen the best response.1f(n) would range from 1 to 100

sara12345
 2 years ago
Best ResponseYou've already chosen the best response.1how to get rid of radical

estudier
 2 years ago
Best ResponseYou've already chosen the best response.1f(n) = a when (a1/2)^2 < n < (a+1/2)^2 (I'm using a)

estudier
 2 years ago
Best ResponseYou've already chosen the best response.1Think I will leave this one up overnight in case people want to think more about it....

sara12345
 2 years ago
Best ResponseYou've already chosen the best response.1does this involve integrals ?

estudier
 2 years ago
Best ResponseYou've already chosen the best response.1Certainly not! (I'm not that fond of calculus)

sara12345
 2 years ago
Best ResponseYou've already chosen the best response.12a is the window for n until a increments

sara12345
 2 years ago
Best ResponseYou've already chosen the best response.1is this right direction

estudier
 2 years ago
Best ResponseYou've already chosen the best response.1Yes! Now u have the pattern, away u go....:)

sara12345
 2 years ago
Best ResponseYou've already chosen the best response.1so f(n) = a a = 1 ; 2.1 times a = 2 ; 2.2 times .... a = 99; 2.99 times a = 100; 2.100/2 times

estudier
 2 years ago
Best ResponseYou've already chosen the best response.1The last bit is just some counting (don't overcount)

sara12345
 2 years ago
Best ResponseYou've already chosen the best response.12a.1/a a would cancel out ! 99*2 + 1 = 199

sara12345
 2 years ago
Best ResponseYou've already chosen the best response.1nice exercise thnk you :)

estudier
 2 years ago
Best ResponseYou've already chosen the best response.1Since it has been solved I will close it after all....
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