if a,b,c are in ap , then show that a(b+c)/bc,b(c+a)/ca,c(a+b)/ab are also in ap
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Given a, b, c are in A. P
Let b=2a ,c=3a
a(b+c)/bc = a(5a)/5a^2
= 1 [after cancellation ]
Similarly 2nd, 3rd term =1,1
1,1,1 are in A. P with difference =0
Let b=2a ,c=3a
a(b+c)/bc = a(5a)/5a^2
= 1 [after cancellation ]
Similarly 2nd, 3rd term =1,1
1,1,1 are in A. P with difference =0
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