Fast ! classify the sequence as arithmetic, geometric, or neither. if there is not enough information to classify the sequence, choose not enough information. (12+(-8)+16/3+(-32/9)+64/27) then, determine if the series is convergent or divergent.

We want to classify the given sequence, we will see that it is a geometric sequence.

So the given sequence is:

12, -8, 16/3, -32/9, 64/27

Because of the sign change, we can conclude that it is not an arithmetic sequence, then we can try to check if it is a geometric sequence.

It will be a geometric sequence if the ratio between two consecutive terms is always the same for any two consecutive terms we take.

Then let's see that:

And so on, so we can see that the ratio is always the same, meaning that this is a geometric sequence.

If you want to learn more, you can read:

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step-by-step explanation: