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Question

If a, b, c are in A.P., then 2ax+1,2bx+1,2cx+1,x0 are in-

A
A.P.
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B
G.P. when x > 0
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C
G.P. if x < 0
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D
G.P. for all x0
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Solution

The correct option is D G.P. for all x0
Given a,b,c be in A.P, then
2b=a+c... (i)
(2bx+1)2=(22bx+2)=2ax+1×2cx+1 [Using (i)]
Therefore, the given terms are in G.P.

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