(Q16).Find the respective terms for the following APs.

(v) a2 = 38; a6 = -22, find a1, a3, a4, a5.

Given: a2 = a + d = ….. (1)

a6 = a + d = - ….. (2)

Solving equations (2) from (1) we get

a + d = -
a + d =

d = -
⇒ d =
-
= -

Now substituting, d = – in equation (1), we get

a + (- ) = ⇒ a = + =

Thus,

a1 = a = ;

a3 = a + 2d = + × (- ) = = ;

a4 = a + 3d = + × (- ) = = ;

a5 = a + 4d = + × (- ) = = –