Select the FIRST correct reason why the given series converges.

A. Convergent geometric series
B. Convergent \(p\) series
C. Comparison (or Limit Comparison) with a geometric or \(p\) series
D. Converges by alternating series test

1. $\displaystyle \sum_{n=1}^\infty (-1)^n \frac{\sqrt{n}}{n +3}$
2. $\displaystyle \sum_{n=1}^\infty \frac{\sin^2 (7 n)}{n^2}$
3. $\displaystyle \sum_{n=1}^\infty \frac{n^2+\sqrt{n}}{n^4 -3}$
4. $\displaystyle \sum_{n=1}^\infty \frac{3 (8)^n}{11^{2n}}$
5. $\displaystyle \sum_{n=1}^\infty \frac{(n+1)(35)^n}{6^{2n}}$
6. $\displaystyle \sum_{n=1}^\infty \frac{ \cos(n \pi)}{ \ln(3 n)}$