In the following fraction series, two fractions have been put within brackets. Study the series carefully and select the correct alternative with respect to the series.
$$\frac{2}{\sqrt{5}},\frac{4}{5},\frac{6}{5\sqrt{5}},(\frac{8}{25}),\frac{10}{25\sqrt{5}},\frac{12}{125},(\frac{14}{125\sqrt{5}})$$
Numerator is in logic series of +2 gaping of all numbers
2+2=4, 4+2=6, (6+2=8), 8+2=10, 10+2=12, (12+2=14)... Hence numerator has no mistake.
Let's see denominator series.. multiply every denominator with $$ \sqrt{5} $$
$${\sqrt{5}},{5},({5\sqrt{5}},{25}),{25\sqrt{5}},{125},({125\sqrt{5}})$$ ... Hence Denominator has no mistake
Hence bracket series is also correct.Â
Option D will be appropriate option.
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