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Byju's Answer
Standard XII
Mathematics
Fallacy
If the mean o...
Question
If the mean of first
n
odd natural number be
n
, then mean of first
2
n
odd natural numbers be
A
n
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B
2
n
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C
n
+
1
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D
None of these
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Solution
The correct option is
D
2
n
Required mean
=
1
+
3
+
5
+
7
+
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
+
2
n
2
n
(
a
s
1
,
3
,
,
5...
f
o
r
m
s
A
P
)
=
2
n
2
(
2.1
+
(
2
n
−
1
)
.2
)
2
n
=
4
n
2
=
2
n
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2
Similar questions
Q.
If the mean of first
n
odd natural numbers is
n
2
81
=, then
n
is equal to
Q.
The sum of first n odd natural numbers is
(a) 2n − 1
(b) 2n + 1
(c) n
2
(d) n
2
− 1