If the first and the (2n-1)th terms of an AP, a GP and an HP are equal and their nth terms are a, b and c respectively then

JEE Advanced Mathematics question

If the first and the th terms of an AP, a GP and an HP are equal and their th terms are and respectively then

Answer: (D)

Let the common first term be and the common th term be . The th term is the middle term of the first terms, so it is the corresponding mean of and :

a=2, =xy, c=.

Then \dfrac{x+y}\dfrac${2x

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Question ID VK-107819