if root a,root b,root c are in GP then a,b,c are in
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If √a , √b and √c are in GP then a , b and c are in...
solution : √a , √b and √c are in GP
it means, common ratio must be same.
i.e., √b/√a = √c/√b
⇒√b × √b = √a × √c
⇒b = √ac
squaring both sides,
⇒b² = ac
⇒ b/a = c/b [ common ratio is constant ]
therefore a , b and c are also in Geometric progression.
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