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Question

If a, b , c be in the G.P. then prove that logan,logbn,logcn, are in A . P

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Solution

Gives the a , b , c are G . P .
We have to prove that loganlogbnlogcn to be A . P
or n log a , n log b , n log c to be in A . P
or 2log b = log a + log b
We have cancelled
or logb2=logacorb2=ac
Which is true by (1)

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