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**Homework Statement::**Tell me if a sequence or series diverges or converges

**Relevant Equations::**Geometric series, Telescoping series, Sequences.

If I have a sequence equation can I tell if it converges or diverges by taking its limit or plugging in numbers to see what it goes too?

Also if I have a series, can I tell if it converges or diverges if it goes to a certain number? Or does it depend on the type of series? I know the geometric series method is a/1-r and the telescoping series is the first value of the first term subtracted by the last value in the last term. Then you take the limit to see what it goes to. I want to understand how you can tell if it nonmonotonic and bounded and also if it converges or diverges.

Im confused on methods to use and so far I have only learned Geometric series, telescoping series and harmonic series in class.

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