Asked by Eric
state whether the series is convergent or divergent
1) 3 + 12 + 48 + ...
2) 4 + 4/5 + 4/25 + ...
1) 3 + 12 + 48 + ...
2) 4 + 4/5 + 4/25 + ...
Answers
Answered by
Steve
#1 surely you don't have to ask about this one -- the terms get ever larger
#2 is simply a geometric series, with |r| < 1, so it converges.
#2 is simply a geometric series, with |r| < 1, so it converges.
Answered by
Eric
Also, you can tell that the first one is DIVERGENT because the numbers are diverging from one another! In other words, they are getting farther and farther apart
The second one is CONVERGENT because all the numbers are converging to a certain number...in this case they are all getting closer and closer to zero
The second one is CONVERGENT because all the numbers are converging to a certain number...in this case they are all getting closer and closer to zero
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