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 December 21st, 2011, 06:24 AM #1 Newbie   Joined: Dec 2011 Posts: 8 Thanks: 0 Define X 1/1 + 1/1+2 + 1/1+2+3 +...+ 1/1+2+3+...+X = 2012/2011 Sorry for the typing but I'm noob.
 December 21st, 2011, 07:47 AM #2 Math Team   Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 14,597 Thanks: 1039 Re: Define X Define x? x is the 24th letter of the alphabet; x is also used to indicate a wrong answer.
 December 21st, 2011, 08:06 AM #3 Newbie   Joined: Dec 2011 Posts: 8 Thanks: 0 Re: Define X Sorry but the translation from my language came like this ... "X=?" Is that clear now ?
 December 21st, 2011, 08:11 AM #4 Global Moderator     Joined: Oct 2008 From: London, Ontario, Canada - The Forest City Posts: 7,968 Thanks: 1152 Math Focus: Elementary mathematics and beyond Re: Define X 1/1 + 1/(1 + 2) + 1/(1 + 2 + 3) + ... + 1/(1 + 2 + 3 + ... + X) = 2012/2011 implies 1/(1 + 2) + 1/(1 + 2 + 3) + ... + 1/(1 + 2 + 3 + ... + X) = 1/2011 but 1/(1 + 2) > 1/2011.
 December 21st, 2011, 08:26 AM #5 Newbie   Joined: Dec 2011 Posts: 8 Thanks: 0 Re: Define X X can be below zero
 December 21st, 2011, 08:30 AM #6 Global Moderator     Joined: Oct 2008 From: London, Ontario, Canada - The Forest City Posts: 7,968 Thanks: 1152 Math Focus: Elementary mathematics and beyond Re: Define X Ok, what else about X? Real, rational, integer . . .?
 December 21st, 2011, 08:32 AM #7 Newbie   Joined: Dec 2011 Posts: 8 Thanks: 0 Re: Define X X can be anything
 December 21st, 2011, 08:39 AM #8 Global Moderator     Joined: Oct 2008 From: London, Ontario, Canada - The Forest City Posts: 7,968 Thanks: 1152 Math Focus: Elementary mathematics and beyond Re: Define X Is the series limited to a certain number of terms or a minimum/maximum number of terms?
 December 21st, 2011, 08:51 AM #9 Newbie   Joined: Dec 2011 Posts: 8 Thanks: 0 Re: Define X No limits , no other terms.
 December 21st, 2011, 09:07 AM #10 Global Moderator   Joined: Dec 2006 Posts: 21,026 Thanks: 2257 The partial sums (from 1/1 onwards) can be given as 2/2, 4/3, 6/4, 8/5, 10/6, 12/7, etc. Notice the pattern? It doesn't reach 2012/2011.

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