Sequence And Series Question 531
Question: The sum of n terms of the series $ \frac{1}{1+\sqrt{3}}+\frac{1}{\sqrt{3}+\sqrt{5}}+\frac{1}{\sqrt{5}+\sqrt{7}}+……… $ is
[UPSEAT 2002]
Options:
A) $ \sqrt{2n+1} $
B) $ \frac{1}{2}\sqrt{2n+1} $
C) $ \sqrt{2n+1}-1 $
D) $ \frac{1}{2}(\sqrt{2n+1}-1) $
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Answer:
Correct Answer: D
Solution:
Putting $ n=1 $ $ s=\frac{1}{1+\sqrt{3}}=\frac{\sqrt{3}-1}{2} $ On checking, (d) is the correct option.
BETA
