(Q12).Find the respective terms for the following APs.

(i) a1 = 2; a3 = 26, find a2.

Given: a1 = a = …….. (1)

a3 = a + 2d = …….. (2)

Equation (2) – equation (1)

⇒ (a + 2d) – a = –

⇒ 2d =

d =
2
 =

Now a2 = a + d = 2 + =