Question

if a b c are in ap then show that (b+c) (c+a) (a+b) are also in ab​

Answer 1

a b c are in ap

let a= 1

b= 2

c= 3

then d= 1

(b+c), (c+a), (a+ b)........

2+3, 3+1, 1+2........

= 5,4,3...........

then d= -1

hence the series are in ap.