Question

12. If a, b, c are in A.P., show that
a(1/b+1/c),b(1/c+1/a),c(1/a+1/b)
are in A.P.
​

Answer 1

We know that in AP common difference is same so

d=a2-a1

d = 1/c+1/a - 1/b +1/c

d= a+c/ac - c + b /bc

d=a3-a2

d= 1/a+1/b - 1/c+1/a

d=b+a/ab - a +c /ca

common difference is not same .

it is not an AP