(Q28).Which of the following are G.P. ? If they are G.P, write three more terms,
(vii) x, 1,
1
x
, ......
Given: t
1
=
, t
2
=
, t
3
=
1
, ......
t
2
t
1
=
1
;
t
3
t
2
=
1
=
1
∴ r =
t
2
t
1
=
t
3
t
2
= ......... =
1
Hence, x, 1,
1
x
, ..... forms a G.P.
where a = x; r =
1
x
a
n
= a r
n-1
a
4
= x.(
1
)
3
=
.
1
3
=
1
2
a
5
= x.(
1
)
4
=
.
1
4
=
1
3
a
6
= x.(
1
)
5
=
.
1
5
=
1
4
Clear