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Question
Q 6
Sum
Solution
logx an, logx bn and logx cn are in A.P.
⇒ logx bn - logx an = logx cn - log bxn
⇒ logx bn - logx bn = 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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