Answer :

(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


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