[2pts]1. Write the first four terms and show the limit, if it exists, of the sequence .
 

[2pts]2. Write the first four terms and show the limit, if it exists, of the sequence a_n = .
 

[2pts]3. Write the first four partial sums and show the limit, if it exists, of .
 

[2pts]4. Determine if the series  converges or diverges.
 

[2pts]5. Write the first four partial sums and show the limit, if it exists, of .
 

[2pts]6. Determine if the series  converges or diverges.
 

[2pts]7. Determine if the series  converges or diverges.
 

[2pts]8. Determine if the series  converges or diverges.
 

[2pts]9. Determine if the series  converges or diverges.
 

[2pts]10. A melon is dropped from a height of h meters onto a smooth, level surface and repeatedly bounces up to a height of 10% of its previous height. What is the total distance that the melon travels?
 

[5 pts]11. Do problem 67 from section 10.2 of Stewart, p. 617.
 

[5 pts]12. Do problem 28 from Stewart Chapter 10's Problems Plus, p. 682.
 

[1 pt]Bonus: Remember the "odd factorial" function we briefly dealt with in section 10.1 problem 3? Find a nice formula (not involving any "...") for the product of the first n odd integers.