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1. 1: series generally start at ___.

2. 1/(n^p): p-series

3. 1/n: harmonic series

4. 2n=evens, 2n+1=odds: rules for sequences defined by recursion

5. a/(1-r) if r (-1,1), diverges otherwise: sum of a geometric series

6. an and bn are > or = to 0, an < or equal to bn: rules for comparison test

7. an and bn are > or = to 0, the limit of an/bn is a finite/non-zero number: rules for limit comparison test

8. ar^(n-1): geometric series

9. both series must be convergent: rules for sum/difference of series

10. convergent: bounded monotonic series are __________.

11. convergent if p>1, divergent if p<1 or p=1: p-series test

12. diverge: Does the harmonic series converge or diverge?

13. diverges: if the limit as n goes to infinity does not equal 0, then the series ____

14. f is continuous/positive/decreasing: rules for the integral test where an=f(n)

15. if an diverges bn diverges, if bn converges an converges: comparison test

16. lim (an+1)=lim (an): if convergent,

17. monotonic: increasing or decreasing

18. Sn-S(n-1): an

19. the limit as n goes to infinity of an exists: A sequence is convergent if_________.

20. the series an and bn converge and diverge simultaneously: limit comparison test