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Byju's Answer
Standard XII
Mathematics
nCr Definitions and Properties
Insert five g...
Question
Insert five geometric means between
486
and
2
/
3
.
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Solution
486
,
x
1
,
x
2
,
x
3
,
x
4
,
x
5
,
2
3
will be a
G
.
P
of
7
terms
∴
2
3
=
T
7
=
a
r
6
=
(
486
)
r
6
.
∴
r
6
=
1
729
=
1
3
6
∴
r
=
±
1
3
, taker
=
1
3
∴
x
1
=
T
2
=
a
r
=
486.
(
1
3
)
=
162
x
2
=
T
3
=
a
r
2
=
486
(
1
9
)
=
54
,
x
3
=
18
,
x
4
=
6
,
x
5
=
2
Hence the five geometric means are
162
,
54
,
18
,
6
,
2
.
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