Question

If a,b,c are in A.P the show that a (b+c)/bc , b (c+a)/ca and c (a+b)/ab are also in the A.P​

Answer 1

Step-by-step explanation:

If a,b,c are in AP

a+c=2b

we need to prove a+b,c+a,b+c are in AP

∴2(a+c)=b+c+a+b

2c+2a=2b+c+a

a+c=2b

∴proved.