Find the A.M. between:
(i) 7 and 13 (ii) 12 and - 8 (iii) (x - y) and (x + y)
(i) Let A be the Arithmetic mean
Then 7, A, 13 are in AP
A-7 = 13-A
2A = 13 + 7
A = 10
(ii) Let A be the Arithmetic mean
Then 12, A, - 8 are in AP
A - 12 = - 8 - A
2A = 12 + 8
A = 2
(iii) Let A be the Arithmetic mean
Then x - y, A, x + y are in AP
A - (x - y) = (x + y) – A
2A = x + y + x - y
A = x