Answer:
Step-by-step explanation:
A convergent series is a series whose partial sums tend to a specific number or a limit.
Example: [tex]3+1+\frac{1}{3}+\frac{1}{9}+.~.~.[/tex]
This is because a series is convergent if
[tex]-1 < r < 1[/tex]
where r is the common ratio
and for the question above
[tex]r=\frac{1}{3}[/tex]
A divergent series is a series whose partial sums do not approach a limit. Divergent series typically go to positive infinity, negative infinity, or don't approach a specific number.
Example: [tex]4+12+36+108~.~.~...[/tex]
This is a divergent series because the common ratio is;
[tex]r=\frac{12}{4} =3[/tex]
Hope this helps! =)
If you have any queries please ask.
