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Byju's Answer
Standard X
Mathematics
Terms in an Arithmetic Progression
The arithmeti...
Question
The arithmetic mean of the first
n
natural numbers is
A
(
n
+
1
)
2
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B
(
n
−
1
)
2
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C
n
2
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D
None of these
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Solution
The correct option is
A
(
n
+
1
)
2
First
n
natural numbers are,
1
,
2
,
3
,
.
.
.
.
.
.
.
.
.
.
n
Sum of these numbers
=
1
+
2
+
3
+
.
.
.
.
.
+
n
=
n
(
n
+
1
)
2
Hence arithmetic mean
=
Sum of numbers
Total numbers
=
n
(
n
+
1
)
2
n
=
n
+
1
2
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