(Q30).Which of the following are G.P. ? If they are G.P, write three more terms,
(ix) 0.4, 0.04, 0.004, ……..
Given: t
1
=
, t
2
=
, t
3
=
, ……
t
2
t
1
=
=
=
=
=
t
3
t
2
=
=
=
∴ r =
t
2
t
1
=
t
3
t
2
= ......... =
=
∴ 0.4, 0.04, 0.004, …….. forms a G.P.
where a =
; r =
1
a
n
= a.r
n-1
a
4
=
× (
1
)
3
=
=
a
5
=
× (
1
)
4
=
=
a
6
=
× (
1
)
5
=
=
Clear