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Question: If a<sub>1</sub>, a<sub>2</sub>, a<sub>3</sub>, ....., a<sub>9</sub> are in H.P. and a<sub>4</sub> =...

If a1, a2, a3, ....., a9 are in H.P. and a4 = 5, a5 = 4, then the value of ∣a1a2a3a4a5a6a7a8a9∣\left| \begin{matrix} a_{1} & a_{2} & a_{3} \\ a_{4} & a_{5} & a_{6} \\ a_{7} & a_{8} & a_{9} \end{matrix} \right|is-

A

31/15

B

41/18

C

50/21

D

61/27

Answer

50/21

Explanation

Solution

ar = 20r\frac{20}{r}, r = 1, 2, 3, ..... 9

Ž the value of the determinant is 5021\frac{50}{21}