Solution:
Provided that,
a3 = 12 is the 3rd term
a50 = 106 is the 50th term
We all know that,
12 = a+2d ……………………………. (i)
Similarly,
106 = a+49d …………………………. (ii)
(ii) – (i), we get
94 = 47d
d = 2 = common difference
From the equation (i), we get,
12 = a+2(2)
a = 12−4 = 8
a29 = a+(29−1) d
a29 = 8+(28)2
a29 = 8+56 = 64
As a result, 64 is 29th term.