Which series MUST DIVERGE by the Divergence Test (nth Term Test)?
∑n=1∞1n2\sum_{n=1}^{\infty} \frac{1}{n^2}∑n=1∞n21
∑n=1∞nn+1\sum_{n=1}^{\infty} \frac{n}{n+1}∑n=1∞n+1n
∑n=1∞(−12)n\sum_{n=1}^{\infty} \left(-\frac{1}{2}\right)^n∑n=1∞(−21)n
∑n=1∞sin(n)n\sum_{n=1}^{\infty} \frac{\sin(n)}{n}∑n=1∞nsin(n)