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Army Group X Practice Set 3
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© examsnet.com
Question : 50
Total: 70
The inequality $2^n
all n
all n>1
all n>2
all n>3
Validate
Solution:
P
(
n
)
:
2
n
<
n
!
P
(
1
)
:
2
1
<
1
!
=
2
<
1
,
it is true.
P
(
2
)
:
2
2
<
2
!
⇒
4
<
2
,
it is not true.
P
(
3
)
:
2
3
<
3
!
⇒
8
<
6
,
it is not true
P
(
4
)
=
2
4
<
4
!
=
16
<
24
it is true.
Hence , the given in equality is true for alln> 3 .
© examsnet.com
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