Select the FIRST correct reason why the given series diverges.

A. Diverges because the terms don't have limit zero
B. Divergent geometric series
C. Divergent p series
D. Integral test
E. Comparison with a divergent p series
F. Diverges by limit comparison test
G. Cannot apply any test done so far in class

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