If a- b- c are in A-P- prove that the following are also in A-P- 1-b-c- 1-c-a- 1-a-b-

1√((c))+√((a)) 1√((b))+√((c))=1√((a))+√((b)) 1√((c))+√((a)) or √(b) √(a)√((b))+√((c))=√(c) √(b)√((a))+√((b)) or b a=c b or 2b=a+c #160;t ...

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nth Term of A.P

If a, b, c ar...

Question

If a, b, c are in A.P., prove that the following are also in A.P.
$\frac{1}{\sqrt{(b)} + \sqrt{(c)}}, \frac{1}{\sqrt{(c)} + \sqrt{(a)}}, \frac{1}{\sqrt{(a)} + \sqrt{(b)}}$ .

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