If a_n>1 for all n N then _ a_2 a_1+ _ a_3 a_2+ + _ a_n a_ n-1 + _ a_1 a_n has the minimum value

JEE Advanced Mathematics question

If for all then

++++

has the minimum value

Answer: (D)

Since every , each of the terms is positive. Their product telescopes by change of base:

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Question ID VK-107830