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If g is the geometric mean of 2,4,8,16,32,64,128,256,512 , 1024, then which one of the following is correct?

Options

  1. A8 g 16
  2. B16 g 32
  3. C32 g 64
  4. Dg 64

Correct answer

C. 32 g 64

Step-by-step solution

If g is the geometric mean of 2,4,8,16,32,64,128 , 256,512,1024 . Then g=(2 4 8 16 32 64 128 256 512 1024)^ 1 / 10 aligned & g= (2^1 2^2 2^3 2^4 2^5 2^6 2^7 2^8 2^9 2¹⁰ )^ 1 / 10 & g= (2¹⁺²+3+ +10 )^ 1 / 10 & g=2^ 10(10+1) 2 1 10 g=2^ 5.5 & 2^5 g 2^6 32 g 64 aligned

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