If are in GP

MATHEMATICS · Single correct · CBSE · Mathematics · Determinants · Determinants

Problem

If a1,a2,a3,…,an,…a_1,a_2,a_3,\dots,a_n,\dots are in GP, then the determinant Δ=∣log⁡anlog⁡an+1log⁡an+2log⁡an+3log⁡an+4log⁡an+5log⁡an+6log⁡an+7log⁡an+8∣\Delta=\begin{vmatrix}\log a_n&\log a_{n+1}&\log a_{n+2}\\\log a_{n+3}&\log a_{n+4}&\log a_{n+5}\\\log a_{n+6}&\log a_{n+7}&\log a_{n+8}\end{vmatrix} is equal to (1) 11 (2) 00 (3) 44 (4) 22

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