Q.

 If  a1,a2,..,an,. form   a   G.P.   And  ai>0,  for   all  i1
 then logan    logan+1    logan+2logan+3    logan+4    logan+5logan+6    logan+7    logan+8 is equal to 

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a

2

b

1

c

0

d

3

answer is A.

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Detailed Solution

 We have, an+12=anan+2
2logan+1=logan+logan+2
Similarly
2logan+4=logan+3+logan+52logan+7=logan+6+logan+8
Substituting these values in second column of determinant, we get
Δ=12loganlogan+logan+2logan+2logan+3logan+3+logan+5logan+5logan+6logan+6+logan+8logan+8=12(0)=0 using C2C2C1C3

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