Question

The 10th term of the sequence $\sqrt{3},\sqrt{12},\sqrt{27}.........$ is

• A. $\sqrt{243}$
• B. $\sqrt{300}$
• C. $\sqrt{363}$
• D. $\sqrt{432}$

Answer 1

Answer: (B)

$\sqrt{3},\sqrt{12},\sqrt{27},.....$ can be written as
$\sqrt{3.1},\sqrt{3.4},\sqrt{3.9},.....$
i.e., $\sqrt{3.1^2},\sqrt{3.2^2},\sqrt{3.3^2},.....$
$\therefore 10$th term $=\sqrt{3.10^2}$
$=\sqrt{300}$