Question

If a,b,c are in A. P then show that (b+c), (c+a) and (a+b) are also in AP.... Please answer this question

Answer 1

Answer:

a, b, c are in ap

Step-by-step explanation:

so

d is common difference

b-a = d

c-b = d

now in second series

b+c , c+a ,a+b

c + a - b - c = a - b common difference

a + b - c - a = b - c common difference

now b-a = d

a - b = - d

C-b =d

b-c = - d

so the difference between the two numbers is - d and equal hence the second series is in ap.