Having difficulty with Summation How would I compute:
$$\sum_{n=2}^\infty \frac{1}{n^2 - n} \cdot n$$
Hints or step by step process would be the most helpful.

$$\sum_{n\geq 2} n/(n^2-n)=\sum_{n\geq 2} n/(n(n-1))=\sum_{n\geq 2} 1/(n-1)=1+1/2+1/3+...=\infty$$ is divergent harmonic series
