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Black Book Advanced Problems in MathematicsMathematicsDeterminants

If a₁, a₂, a₃, , a_n are in G.P. and a_i > 0 for each i, then the determinant = vmatrix log a_n & log a_ n+2 & log a_ n+4 log a_ n+6 & log a_ n+8 & log a_ n+10 log a_ n+12 & log a_ n+14 & log a_ n+16 vmatrix is equal to:

Options

  1. A0
  2. B( _ i=1 ^ n^2+n a_i )
  3. C1
  4. D2

Correct answer

A. 0

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