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

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embizze | High School Teacher | (Level 2) Educator Emeritus

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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.)