1. Let 
1. Find the first 4 terms of this sequence.


 
2. Does this sequence converge or diverge? If it converges, state the limit.


 
3. Find  where  is the  partial sum of the series You do not need to simplify your answer.


 
4. Does  converge or diverge?


2. Determine if the series  converges or diverges.




 

3. Determine if the series  is absolutely convergent, conditionally convergent, or divergent.






 

4. Find the radius of convergence of 








 

5. The interval of convergence of the power series  is either  or  Determine which of these four options is correct.






 

6. Quick calculations
1. Find the exact value of 


 
2. If  find 


 
3. Find 


7. For each set of requirements below, either give an example that fits the requirements or explain why it is impossible to do so.
1. A divergent geometric series.


 
2. A sequence  so that  diverges and  converges.


 
3. A sequence  so that  and  diverges.

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