# Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer does not exist, enter DNE.) an = (−1)n 9 n

*print*Print*list*Cite

Expert Answers

embizze | Certified Educator

Determine if the sequence `a_n=(-1)^n9^n`

converges or diverges.

The first few terms are -9,81,-729,6561,...

**This sequence is divergent** since it is neither bounded below or above. (There are terms larger than any finite M and terms smaller than any finite N.)