Question

The sum of 24 terms of the following series is.

• A. 300
• B. $300 \sqrt { 2 }$
• C. $200 \sqrt { 2 }$
• D. None of these

Answer 1

Answer: (B)

$300 \sqrt { 2 }$

Answer 2

We have $\sqrt { 2 } + \sqrt { 8 } + \sqrt { 18 } + \sqrt { 32 } + \ldots \ldots$

=

$= \sqrt { 2 } \times \frac { 24 \times 25 } { 2 } = 300 \sqrt { 2 }$ .