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astraxan [27]
3 years ago
15

Can someone please help me with this one question?

Mathematics
1 answer:
Scilla [17]3 years ago
8 0
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, - \frac{4}{3}, -\frac{4}{9}, - \frac{4}{27}
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, -5 \frac{1}{3}, -5 \frac{7}{9}, -5 \frac{25}{27}

So you can see we're getting closer and closer to -5
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