
Author  Message 

Froggie_Dude
Posts : 150 Points : 156 Reputation : 0 Join date : 20100114 Location : Behind you
 Subject: Math problem help Wed Mar 03, 2010 1:39 am  
 Ok, I have a few questions that are kinda challenging so if you are good at this kind of thing plz help.
1.
Let tn equal the integer closest the √n
For example, t_{1} = t_{2} = 1 since √1=1 and √2=1.41 and t_{3}=2 since √3=1.71.
What is the sum of the following? 1/t_{1} + 1/t_{2} + 1/t_{3} + 1/t_{4} + ... + 1/t_{2008} + 1/t_{2009} + 1/t_{2010}
2. Alex chose positive integers a, b, c, d, e, f and completely multiplied out the polynomial product
(1  x)^{a}(1 + x)^{b}(1  x + x^{2})^{c}(1 + x^{2})^{d}(1 + x + x^{2})^{e}(1 + x + x^{2} + x^{3} + x^{4})^{f}
After she simplified her result, she discarded any term involving x to any power greater than 6 and was astonished to see that what was left was 1  2x. If a > d + e + f and b > c + d and e > c, what value of a did she choose? 

 
SuppaSapien3
Posts : 476 Points : 599 Reputation : 0 Join date : 20090803 Age : 26
 Subject: Re: Math problem help Wed Mar 03, 2010 8:51 am  
 

 
{PK}Mirez
Posts : 1074 Points : 1107 Reputation : 1 Join date : 20100103 Age : 25 Location : Netherlands
 Subject: Re: Math problem help Wed Mar 03, 2010 11:57 am  
 5 obviously
froggie you should consider joining xpt, we need someone who makes the place less gloomy _________________ 

 
Froggie_Dude
Posts : 150 Points : 156 Reputation : 0 Join date : 20100114 Location : Behind you
 Subject: Re: Math problem help Fri Mar 05, 2010 12:29 am  
 haha, but this was a serious question. 

 
SMD_DiaryOfJane
Posts : 49 Points : 75 Reputation : 0 Join date : 20100223 Age : 24
 Subject: Re: Math problem help Fri Mar 05, 2010 1:26 am  
 1. answer is 88+(2/3) I too lazy too further simplify for u. (1/t1 + 1/t2)= 1+1=2 (1/t3 + 1/t4...1/t6)= 2 sum of all even numbers (2, 4, 6, 8,...)=2010 ( 2 (1's), 4 (1/2)'s, 6 (1/3)'s etc...) 288 sum of every even integer is 1980 20101980= 30 30* (1/45)< (90/2 gets u the 45 denominator) (total of 90 (1/45)s)=2/3 2* 44(integers from 288 the even ones)=88 sum= 88 and two thirds. feel free to flame me if i do this wrong im to lazy to help u out on #2 if u really need help ill try to do it 4 u. 

 
SMD_DiaryOfJane
Posts : 49 Points : 75 Reputation : 0 Join date : 20100223 Age : 24
 Subject: Re: Math problem help Fri Mar 05, 2010 1:33 am  
 2nd question i think A=4 not sure :/. 

 
Froggie_Dude
Posts : 150 Points : 156 Reputation : 0 Join date : 20100114 Location : Behind you
 Subject: Re: Math problem help Fri Mar 05, 2010 2:26 am  
 Thx for help, I got to the part where 288 was 1980 then I didn't know what to do with the 30 that was left. I didn't even know where to start with the second one so I thought I'd see if someone else knew how to get it. Thanks. 

 
RageNrOx Admin
ID : 376121 Posts : 1148 Points : 1414 Reputation : 43 Join date : 20090727 Age : 30 Location : France
 Subject: Re: Math problem help Fri Mar 05, 2010 11:15 pm  
  SMD_DiaryOfJane wrote:
 1. answer is 88+(2/3) I too lazy too further simplify for u.
(1/t1 + 1/t2)= 1+1=2 (1/t3 + 1/t4...1/t6)= 2 sum of all even numbers (2, 4, 6, 8,...)=2010 ( 2 (1's), 4 (1/2)'s, 6 (1/3)'s etc...) 288 sum of every even integer is 1980 20101980= 30 30* (1/45)< (90/2 gets u the 45 denominator) (total of 90 (1/45)s)=2/3 2* 44(integers from 288 the even ones)=88 sum= 88 and two thirds.
feel free to flame me if i do this wrong im to lazy to help u out on #2 if u really need help ill try to do it 4 u.
You're right, 30 seconds with excel to check it ^^ 88,66666667
2nd problem is kinda harder lol_________________ The best defence is attack! 

 
SuppaSapien3
Posts : 476 Points : 599 Reputation : 0 Join date : 20090803 Age : 26
 Subject: Re: Math problem help Mon Mar 29, 2010 8:28 am  
 

 
Froggie_Dude
Posts : 150 Points : 156 Reputation : 0 Join date : 20100114 Location : Behind you
 Subject: Re: Math problem help Mon Mar 29, 2010 10:39 pm  
 Sorta not rlly. It was on a big thing of questions we were supposed to look at. 

 
death
ID : 1451210 Posts : 944 Points : 1201 Reputation : 15 Join date : 20100210
 Subject: Re: Math problem help Tue Mar 30, 2010 1:27 am  
 

 
SMD_bazookatooth
ID : 55555 Posts : 490 Points : 593 Reputation : 0 Join date : 20091204 Age : 66
 Subject: Re: Math problem help Mon Nov 08, 2010 10:53 am  
 I feel like he posted this just to show off. 

 
Vaga
ID : 712824 Posts : 536 Points : 536 Reputation : 51 Join date : 20100331 Age : 27 Location : pittsburgh, PA
 Subject: Re: Math problem help Mon Nov 08, 2010 6:40 pm  
 

 
SMD_bazookatooth
ID : 55555 Posts : 490 Points : 593 Reputation : 0 Join date : 20091204 Age : 66
 Subject: Re: Math problem help Mon Nov 08, 2010 9:59 pm  
 out of all the people I'm glad froggie dude doesnt come on here anymore 

 
{PK}Mirez
Posts : 1074 Points : 1107 Reputation : 1 Join date : 20100103 Age : 25 Location : Netherlands
 Subject: Re: Math problem help Tue Nov 09, 2010 12:09 pm  
 I disagree, it was nice to have another ESO player here _________________ 

 
Andrw_13
ID : 2552530 Posts : 517 Points : 564 Reputation : 2 Join date : 20100911 Age : 22 Location : HOme
 Subject: Re: Math problem help Wed Nov 10, 2010 12:32 am  
 I didnt know him tho he seems a pretty chilled guy 

 
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 Subject: Re: Math problem help Today at 8:23 pm  
 

 
