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| Math Central | Quandaries & Queries |
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Question from Haley, a student: Use the ratio test to determine whether the series in convergent or divergent. (2/5)+(4/10)+(8/15)+... |
Haley, when I look at (2/5) + (4/10) + (8/15) +... I see fractions where the numerators are powers of 2 and the denominators are multiples of 5. So I see
(21/[1 × 5]) + (22/[2 × 5]) + (23/[3 × 5]) + ...
so the series has terms (2n/[n × 5]).
Now do you see how to apply the ratio ters?
If you need more assistance write back.
Harley
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