Question

If a,b and c are in A.P. then show that b+c,c+a and a+b are also in A.P.​

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+b

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

a+c=2b

∴proved.