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$If a, b and c are in A.P, and b - a, c - b and a are in G.P, then a : b : c is$

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Correct option is A

We have, 2b=a+c(c−b)2=(b−a)a⇒(b−a)2=(b−a)a [2b=a+c⇒b−a=c−b]⇒b=2a⇒c=3a [ using 2b=a+c]⇒a:b:c=1:2:3

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If a,b and c are in A.P, and b−a,c−b and a are in G.P, then a:b:c is

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$If a, b and c are in A.P, and b - a, c - b and a are in G.P, then a : b : c is$