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One harder sequence (Posted on 2011-05-24) Difficulty: 4 of 5
Given that n is a whole number, what is the next expression in this series of expressions, each of which is valid for all n?

n^0,
2n+1,
8n^2+6n+1,
32n^3+40n^2+12n+1

No Solution Yet Submitted by broll    
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Hint 2 | Comment 2 of 6 |
If the next expression in the series is: 128n^4+224n^3+120n^2+20n+1 and the one after that is: 512n^5+1152n^4+896n^3+280n^2+30n+1; then what is the one after that?

Edited on June 26, 2011, 11:19 am
  Posted by broll on 2011-06-26 11:18:29

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