(Q14).Find the respective terms for the following APs.
(iii) a
1
= 5; a
4
= 9
1
2
, find a
2
, a
3
.
Given: a
1
= a =
….. (1)
a
4
= a +
d =
1
….. (2)
Solving equations (1) and (2);
a +
d =
1
a +
=
d =
1
-
⇒
d =
1
⇒
d =
⇒ d =
×
=
∴ a
2
= a + d =
+
=
a
3
= a + 2d =
+
×
=
+
=
Clear