Question

if b+c/a c+a/b a+b/c are in ap then a,b,c are in which series

Answer 1

Answer:

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+b2c+2a=2b+c+aa+c=2b

∴proved.