Let A be the series $$\sum_{n=1}^{\infty} \frac{(-1)^{n}}{\log(n+2)}$$ and B be the series $$\sum_{n=2}^{\infty} \left(\frac{3n-4}{3k+2}\right)^{\left(\frac{n+1}{3}\right)}$$ for real numbers. Then which of the following is true.

A

Both the series A and B are divergent

B

Both the series A and B are convergent

C

Series A is convergent and series B is divergent

D

Series A is conditionally convergent and series B is divergent