Match each of the following with the correct statement. A. The series is absolutely convergent. C. The series converges, but is not absolutely convergent. D. The series diverges.
\sum_(n=1)^(\infty ) ((-3)^(n))/(n^(2))
\sum_(n=1)^(\infty ) ((-1)^(n+1))/(5n+5)
\sum_(n=1)^(\infty ) (-1)^(n+1)((2+n)2^(n))/((n^(2))4^(2n))
\sum_(n=1)^(\infty ) ((n+5)!)/(n!3^(n))
\sum_(n=1)^(\infty ) (sin(6n))/(n^(3))