The nth term of a series is represented by an=2^n/5^n+1 ⋅n . George correctly applies the ratio test to determine whether the se
ries converges or diverges. Which statement reflects George's conclusion?
From the ratio test, r = 0.4. The series diverges.
From the ratio test, r = 0.4. The series converges.
From the ratio test, r = 4. The series converges.
From the ratio test, r = 4. The series diverges.
From the ratio test, r = 0.4. The series diverges.
From the ratio test, r = 0.4. The series converges.
From the ratio test, r = 4. The series converges.
From the ratio test, r = 4. The series diverges.
2 answers:
<h3>Answer: Choice B) r = 0.4; series converges</h3>
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Explanation:
Check out the attached image below to see the steps on how I computed r.
The value you should get is r = 0.4
Since r is less than 1, the series converges.
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Extra info:
If r > 1, then the series would diverge.
If r = 1, then the series may diverge, conditionally converge, or absolutely converge. Another test would be needed if you get r = 1.
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