# Is the series #\sum_(n=1)^\infty((-5)^(2n))/(n^2 9^n)# absolutely convergent, conditionally convergent or divergent?

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(Use the appropriate test)

(Use the appropriate test)

##### 1 Answer

#### Answer

#### Answer:

#### Explanation

#### Explanation:

#### Answer:

Diverges by the Ratio Test.

#### Explanation:

We'll check for Absolute Convergence using the Ratio Test, where

The Ratio Test tells us we take

Then,

Thus,

We can factor these constants outside of the limit, getting

We dropped the absolute value bars as everything is positive when we go to infinity.

We also then have divergence by the Ratio Test.

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