SOLUTION: If a,b,c�� be in G.P,then show that loga x,logb x,logc x, �� are in H.P

SOLUTION: If a,b,c�� be in G.P,then show that loga x,logb x,logc x, �� are in H.P

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Question 971266: If a,b,c�� be in G.P,then show that loga x,logb x,logc x, �� are in H.P
Answer by anand429(138) (Show Source): You can put this solution on YOUR website!
Given, a,b,c are in GP,
So, let common factor be k such that b=ak and c=ak^2.
Now for checking the H.P. of given terms,

=
=
=
= -(i)
Again,

=
=
=
= -(ii)
So, from (i) and (ii),

Hence, , and are in H.P.
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