The three arithmetic mean between - 2 and 10 are:
1, 4 and 7
Let three A.M. between - 2 and 10 be A1, A2 and A3.
5th term = 10 = -2 + (5 – 1)d
⇒ 12 - 4d ⇒ d – 3
A1 = -2 + 3 = 1, A2 = -2 + 2(3) = 4 and A3 = -2 + 3(3) = 7
Thus, three A.M. between -2 and 10 are 1, 4 and 7.