I built this sum for an algorithm, but am having trouble figuring out where to start solving it. If I could get it down to a partial sum, I could use limits to solve it, but its been so long since I've done anything other than the most basic summations, I could really use a finger in the right direction on where to start.
$$ \sum_{k=1}^{\infty} k (1 - (1 - p^k)^n) $$