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Q.

There are four numbers of which the first three are in G.P. whose common ratio is 12 and the last three are in A.P. If the last number is two less than the first, then the four members are

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a

3,1,13,−13

b

2,1,12,0

c

4,1,14,−12

d

None of these

answer is B.

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Detailed Solution

The numbers can be taken as a,a2,a4,a−2.By question, a2,a4,a−2 are in AP.∴ 2⋅a4=a2+a−2; or a=2. Hence, the numbers are 2,1,12,0.

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