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Byju's Answer
Standard IX
Mathematics
Polynomials
If n is an in...
Question
If n is an integer, then every integral multiple of 3 can be represented by the expression
.
A
2n+1
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B
3n
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C
2n-1
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D
6n
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Solution
The correct option is
B
3n
The first multiple of 3 = 3
×
1 = 3,
the second multiple of 3 = 3
×
2 = 6.
Similarly, the nth multiple of 3 = 3
×
n
= 3n.
Hence, if n is an integer, then every integral multiple of 3 can be represented by the expression 3n.
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Similar questions
Q.
Given n is an integer, then every integral multiple of 3 can be represented by the expression
___
.
Q.
Assertion :If
n
is an odd integer greater than 3 but not a multiple of 3, then
(
x
+
1
)
n
−
x
n
−
1
is divisible by
x
3
+
x
2
+
x
Reason: If
n
is an odd integer greater than
3
but not a multiple of
3
, we have
(
1
+
ω
n
+
ω
2
n
)
=
0
Q.
Statement 1: If n is an odd integer greater than 3 but not a multiple of 3, then
(
x
+
1
)
n
−
x
n
−
1
is divisible by
x
3
+
x
2
+
x
.
Statement 2: If n is an odd integer greater than 3 but not a multiple of 3, we have
1
+
ω
n
+
ω
2
n
=
3
.
Q.
An integer
m
is said to be related to another integer
n
if
m
is a multiple of
n
. Then the relation is
Q.
If
A
=
[
3
−
4
1
−
1
]
then for every integer n
A
n
is equal to
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