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Mello Group TitleBest ResponseYou've already chosen the best response.0
dw:1347334599772:dw
 2 years ago

CliffSedge Group TitleBest ResponseYou've already chosen the best response.0
There isn't much you can do with that. You can try factoring. There's a difference of cubes up top, and the bottom is a square of sorts.
 2 years ago

Mello Group TitleBest ResponseYou've already chosen the best response.0
@CliffSedge I know that the answer should be 2013. I have no idea how to get there though
 2 years ago

CliffSedge Group TitleBest ResponseYou've already chosen the best response.0
Just to make sure we're looking at the same thing, is this what you wrote? \[\frac{827^n}{4+2 \cdot 3^n +9} \space +2011+3^n\]
 2 years ago

CliffSedge Group TitleBest ResponseYou've already chosen the best response.0
Well if the answer is 2013, then \[\frac{827^n}{4+2 \cdot 3^n +9} +3^n = 2.\]
 2 years ago

Mello Group TitleBest ResponseYou've already chosen the best response.0
Is it possible to add 2^2 to 2?
 2 years ago

CliffSedge Group TitleBest ResponseYou've already chosen the best response.0
The top can be factored as a difference of cubes: \[827^n = 2^33^{3n} = (23^n)(4+2 \cdot 3^n+3^{2n})\]
 2 years ago

CliffSedge Group TitleBest ResponseYou've already chosen the best response.0
What do you mean, "add 2^2 to 2?" 2^2 = 4, 4+2=6.
 2 years ago

CliffSedge Group TitleBest ResponseYou've already chosen the best response.0
Are you sure that denominator isn't 4+2*3^n+9^n ?
 2 years ago

CliffSedge Group TitleBest ResponseYou've already chosen the best response.0
Then it would work out just fine.
 2 years ago

Mello Group TitleBest ResponseYou've already chosen the best response.0
@CliffSedge Im sure, its just 9.
 2 years ago

CliffSedge Group TitleBest ResponseYou've already chosen the best response.0
\[\frac{827^n}{4+2 \cdot 3^n +9^n} \space +2011+3^n \rightarrow\] \[\frac{2^33^{3n}}{4+2 \cdot 3^n +9^n} \space +2011+3^n \rightarrow\] \[\frac{(23^n)((4+2 \cdot 3^n +9^n)}{4+2 \cdot 3^n +9^n} \space +2011+3^n \rightarrow\] \[23^n +2011+3^n =2013.\]
 2 years ago

CliffSedge Group TitleBest ResponseYou've already chosen the best response.0
Well, that's unfortunate.
 2 years ago
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