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Byju's Answer
Standard VIII
Mathematics
Sum of Consecutive Numbers
The sum of fi...
Question
The sum of first 6 natural numbers is
.
A
21
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B
20
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C
42
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Solution
The correct option is
A
21
Sum of first n natural numbers =
n
(
n
+
1
)
2
=
6
(
6
+
1
)
2
=
6
×
7
2
=
3
×
7
= 21
∴
The sum of first 6 natural numbers is 21.
Suggest Corrections
3
Similar questions
Q.
Assertion :The variance of first
n
natural numbers is
n
2
−
1
6
. Reason: The sum of the first
n
odd natural numbers is
n
2
and the sum of squares of first
n
odd natural numbers is
n
3
(
4
n
2
−
1
)
.
Q.
Assertion :The variance of first
n
even natural numbers is
n
2
−
1
4
. Reason: The sum of first
n
natural even numbers is
n
(
n
+
1
)
and the sum of squares of first
n
natural numbers is
n
(
n
+
1
)
(
2
n
+
1
)
6
Q.
Statement-1 : The variance of first n even natural numbers is
n
2
−
1
4
Statement-2 : The sum of first n natural numbers is
n
(
n
+
1
)
2
and The sum of squares first n natural numbers is
n
(
n
+
1
)
(
2
n
+
1
)
6
Q.
Assertion :The variance of first
n
natural numbers is
n
2
−
1
6
Reason: The sum and the sum of squares of first
n
natural numbers are
n
(
n
+
1
)
2
and
n
(
n
+
1
)
(
2
n
+
1
)
6
respectively.
Q.
The sum of squares of first n natural numbers is given by
1
6
(
2
n
3
+
3
n
2
+
n
)
. Find the sum of squares of the first 10 natural numbers.
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