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

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