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

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mahmit2012Best ResponseYou've already chosen the best response.0
dw:1350239055071:dw
 one year ago

estudierBest ResponseYou've already chosen the best response.1
That looks promising...
 one year ago

estudierBest ResponseYou've already chosen the best response.1
Get rid of them nasty radicals as well.....
 one year ago

sara12345Best ResponseYou've already chosen the best response.1
f(n) would range from 1 to 100
 one year ago

sara12345Best ResponseYou've already chosen the best response.1
how to get rid of radical
 one year ago

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

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

sara12345Best ResponseYou've already chosen the best response.1
does this involve integrals ?
 one year ago

estudierBest ResponseYou've already chosen the best response.1
Certainly not! (I'm not that fond of calculus)
 one year ago

sara12345Best ResponseYou've already chosen the best response.1
2a is the window for n until a increments
 one year ago

sara12345Best ResponseYou've already chosen the best response.1
is this right direction
 one year ago

estudierBest ResponseYou've already chosen the best response.1
Yes! Now u have the pattern, away u go....:)
 one year ago

sara12345Best ResponseYou've already chosen the best response.1
so f(n) = a a = 1 ; 2.1 times a = 2 ; 2.2 times .... a = 99; 2.99 times a = 100; 2.100/2 times
 one year ago

estudierBest ResponseYou've already chosen the best response.1
The last bit is just some counting (don't overcount)
 one year ago

sara12345Best ResponseYou've already chosen the best response.1
2a.1/a a would cancel out ! 99*2 + 1 = 199
 one year ago

sara12345Best ResponseYou've already chosen the best response.1
nice exercise thnk you :)
 one year ago

estudierBest ResponseYou've already chosen the best response.1
Since it has been solved I will close it after all....
 one year ago
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