SOLUTION: if a,b ,c. are in HP. then prove that a/c =d-c/b -c

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Question 846038: if a,b ,c. are in HP. then prove that a/c =d-c/b -c
Answer by psbhowmick(878) About Me  (Show Source):
You can put this solution on YOUR website!
Given that a, b, c are in H.P.

So 1%2Fa,1%2Fb,1%2Fc are in A.P.

1%2Fb-1%2Fa=1%2Fc-1%2Fb
%28a-b%29%2Fab=%28b-c%29%2Fbc
%28a-b%29%2Fa=%28b-c%29%2Fc
a%2Fc=%28a-b%29%2F%28b-c%29

Where from 'd' comes?