determine if series is absolutely convergent conditionally convergent or divergent

for sum from 1 to infinity of ((-1)^n)(n/(5+n))

my work: absolute value of lan+1/(an)l = (n+1/(5+(n+1))(5+n/(n)) as n goes to infinity equals 5/6 which is less than 1 so the series is absolutely convergent by ratio test.

is this right?