If G is the geometric mean of numbers 1, 2, 2^2, 2^3, , 2^ n-1 , then what is the value of 1+2 _2G?

NDA 2023 Mathematics question

If is the geometric mean of numbers , then what is the value of ?

Answer: (D)

The product of the numbers is . So $G =

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Question ID VK-029645