1
$\begingroup$

Are any of you familiar with the closed form solutions for $\sum_{k=0}^{n} k C(n,k) x^k$ and $\sum_{k=0}^{n} k^2 C(n,k) x^k$ where $0 < x < 1$?

Thanks!

  • 0
    The answer is yes. :-) More seriously, what do you know and what have you tried?2011-06-08
  • 3
    Differentiate the binomial theorem.2011-06-08

1 Answers 1