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if a1 a2 are in a p then 1 a 1 a 2 1 a 2 a 3 1 a n
Question:
If a
1
,a
2
,..... are in A.P., then,
\(\frac{1}{\sqrt{a_1} + \sqrt{a_2}} + \frac{1}{\sqrt{a_2} + \sqrt{a_3}} + .... + \frac{1}{\sqrt{a_n} + \sqrt{a_{n+1}}}\)
is equal to
CAT - 2019
CAT
Updated On:
Aug 20, 2024
\(\frac{n-1}{\sqrt{a_1}+\sqrt{a_{n-1}}}\)
\(\frac{n}{\sqrt{a_1}+\sqrt{a_{n+1}}}\)
\(\frac{n-1}{\sqrt{a_1}+\sqrt{a_{n}}}\)
\(\frac{n}{\sqrt{a_1}-\sqrt{a_{n+1}}}\)
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The Correct Option is
B
Solution and Explanation
Choose n = 1. The correct option should yield the first term i.e
1 / √a1 + √a2.
Only option (2) satisfies this condition.
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