Sequence And Series Question 617
Question: The sum of 24 terms of the following series $ \sqrt{2}+\sqrt{8}+\sqrt{18}+\sqrt{32}+……… $ is
Options:
A) 300
B) $ 300\sqrt{2} $
C) $ 200\sqrt{2} $
D) None of these
Show Answer
Answer:
Correct Answer: B
Solution:
We have $ \sqrt{2}+\sqrt{8}+\sqrt{18}+\sqrt{32}+…… $ $ =1\sqrt{2}+2\sqrt{2}+3\sqrt{2}+4\sqrt{2}+…….. $ = $ \sqrt{2}[1+2+3+4+……….upto\ 24\ terms] $ $ =\sqrt{2}\times \frac{24\times 25}{2}=300\sqrt{2} $ .
BETA
