Question

Find the missing term.

$\frac{2}{\sqrt{5}},\frac{3}{5},\frac{4}{5\sqrt{5}},\frac{5}{25},(.........)$

• A. $\frac{6}{15\sqrt{5}}$
• B. $\frac{6}{25\sqrt{5}}$
• C. $\frac{6}{125}$
• D. $\frac{7}{25}$

Answer 1

Answer: (B)

$\frac{6}{25\sqrt{5}}$

In each successive term,

Numerator is increasing by $+1$.
Denominator is multiplied by $\sqrt{5}$
Hence, option B is the correct answer.