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Q 6 -

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Question

Q 6

Sum

Solution

logx an, logx bn and logx cn are in A.P.

⇒ logx b- logx a= logx cn - log bxn

⇒ logx b- logx b= logx an - logx cn

⇒ 2logx bn = logx an + logx cn

⇒ logx (bn)2 = logx an + logx cn

⇒ (b2)n = (ac)n

⇒ b2 = ac

Hence, a, b and c are in G.P.

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Simple Applications - Geometric Progression
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