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What is the formula of this sequence?

1, 8, 27, 256, 3125, 46656, 823543

Guest Oct 16, 2014

Best Answer 

 #2
avatar+19624 
+10

What is the formula of this sequence?

1, 8, 27, 256, 3125, 46656, 823543

$$a_n=n^{
\left[
n+integerPart\left(\dfrac{2}{n}\right)
\right]}
\quad \text{ and } \quad n > 0$$

heureka  Oct 16, 2014
 #1
avatar+87300 
+5

Well...if the second term was 4, the formula would be nn   where n is an integer > 0

 

CPhill  Oct 16, 2014
 #2
avatar+19624 
+10
Best Answer

What is the formula of this sequence?

1, 8, 27, 256, 3125, 46656, 823543

$$a_n=n^{
\left[
n+integerPart\left(\dfrac{2}{n}\right)
\right]}
\quad \text{ and } \quad n > 0$$

heureka  Oct 16, 2014
 #3
avatar+87300 
0

Thanks, heureka....that's pretty neat.....!!!  I'm going to recommend this one for Melody's "Daily Wrap."

 

CPhill  Oct 16, 2014
 #4
avatar+19624 
+5

Thank you CPhill

heureka  Oct 16, 2014

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