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JEE Advanced Mathematics question

MathematicsSequence and SeriesJEE Advanced

If are in GP then the value of is

Answer: (C)

Solution

The three quantities are , and . For a GP, (middle) = product of the ends:

Missing argument for \frac\frac{10}9·=Missing argument for \frac\frac{n(n+1)}2·Missing argument for \frac\frac{n^2(n+1)^2}4.

Cancel : $=Missing argument for \dfrac\dfrac{n(n+1)}8⇒

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Question ID VK-107846