Convergent or divergent series

Is the following geometric sequence 0.005+ 0.05+ 0.5+ ... converent, divergent, both or neither. How would you figure this out?

It is divergent since the common ratio is 10 which is >1 in absolute value.

The sequence is (10)^n(.0005).

To find if a sequence is divergent or convergent, put the sequence in the limit of n to infinity. If the answer turns to be a real number, than it is convergent, else it is divergent.

lim n-->infinity (10)^n(.0005) = infinity so it must be divergent.