If a1,a2,a3,……ar are in GP, then prove that the determinant ∣∣ – InterviewSolution

1.	If a1,a2,a3,……ar are in GP, then prove that the determinant ∣∣∣∣ar+1ar+5ar+9ar+7ar+11ar+ar+11ar+17ar+21∣∣∣∣ is independent of r.
Answer» If $a_{1}, a_{2}, a_{3}, \dots \dots a_{r}$ are in GP, then prove that the determinant $∣ ∣∣ ∣ \begin{matrix} a_{r + 1} & a_{r + 5} & a_{r + 9} a_{r + 7} & a_{r + 11} & a_{r +} a_{r + 11} & a_{r + 17} & a_{r + 21} \end{matrix} ∣ ∣∣ ∣$ is independent of r.

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