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If are in GP
MATHEMATICS · Single correct · CBSE · Mathematics · Determinants · Determinants
Problem If a 1 , a 2 , a 3 , … , a n , … a_1,a_2,a_3,\dots,a_n,\dots a 1 , a 2 , a 3 , … , a n , … are in GP, then the determinant Δ = ∣ 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 ∣ \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} Δ = log a n log a n + 3 log a n + 6 log a n + 1 log a n + 4 log a n + 7 log a n + 2 log a n + 5 log a n + 8 is equal to
(1) 1 1 1
(2) 0 0 0
(3) 4 4 4
(4) 2 2 2
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