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December 21st, 2011, 06:24 AM   #1
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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.
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December 21st, 2011, 07:47 AM   #2
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Re: Define X

Define x? x is the 24th letter of the alphabet; x is also used to indicate a wrong answer.
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December 21st, 2011, 08:06 AM   #3
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Re: Define X

Sorry but the translation from my language came like this ...
"X=?" Is that clear now ?
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December 21st, 2011, 08:11 AM   #4
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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.
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December 21st, 2011, 08:26 AM   #5
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Re: Define X

X can be below zero
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December 21st, 2011, 08:30 AM   #6
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Re: Define X

Ok, what else about X? Real, rational, integer . . .?
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December 21st, 2011, 08:32 AM   #7
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Re: Define X

X can be anything
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December 21st, 2011, 08:39 AM   #8
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Re: Define X

Is the series limited to a certain number of terms or a minimum/maximum number of terms?
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December 21st, 2011, 08:51 AM   #9
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Re: Define X

No limits , no other terms.
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December 21st, 2011, 09:07 AM   #10
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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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