Chapter 11, Problem 5CRQ

a.

To determine

To fill: The blank in the statement “A series ${\displaystyle \sum _{n=1}^{\infty }{a}_n}$ converges and has sum S if its sequence of ______ ______ converges to S”.

b.

To determine

To fill: The blank in the statement “The series ${\displaystyle \sum _{n=0}^{\infty }a{r}^n}$ is called a/an ______ series. It converges if $\left|r\right|<\_\_\_\_\_$, and it diverges if $\left|r\right|\ge \_\_\_\_\_$”.