It's been awhile since I've worked with infinite series and partial sums, but here are my thoughts:
A. the first 4 terms: -4, [tex]- \frac{4}{3} [/tex], [tex] -\frac{4}{9} [/tex], [tex]- \frac{4}{27} [/tex]
B. In examining the partial sums of the series, it appears that the sequence produced has a limit and therefore the series would be convergent.
C. the limit or sum of the series looks to be -5 Below look at the sequence of partial sums:
-4, [tex]-5 \frac{1}{3} [/tex], [tex]-5 \frac{7}{9} [/tex], [tex]-5 \frac{25}{27} [/tex]
So you can see we're getting closer and closer to -5
