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Byju's Answer
Standard XIII
Mathematics
Sigma n
The nth term ...
Question
The
n
t
h
term of series
1
1
+
1
+
2
2
+
1
+
2
+
3
3
+
.
.
.
.
will be
[AMU 1982]
A
n
+
1
2
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B
n
−
1
2
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C
n
2
+
1
2
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D
n
2
−
1
2
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Solution
The correct option is
A
n
+
1
2
Given series
1
1
+
1
+
2
2
+
1
+
2
+
3
3
+
.
.
.
.
So
n
t
h
term of series is given by
T
n
=
1
+
2
+
3
+
.
.
.
.
+
n
n
=
1
2
n
(
n
+
1
)
n
=
n
+
1
2
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6
Similar questions
Q.
The
n
t
h
term of series
1
1
+
1
+
2
2
+
1
+
2
+
3
3
+
.
.
.
.
will be
[AMU 1982]
Q.
1
1
×
2
+
1
2
×
3
+
1
3
×
4
+
…
what will be the
n
t
h
term?
Q.
Let the series be
1
2
1
+
1
2
+
2
2
1
+
2
+
1
2
+
2
2
+
3
2
1
+
2
+
3
+
…
.
Then
(where
T
n
and
S
n
denote the
n
t
h
term and sum upto
n
t
h
term respectively.)
Q.
Let the series be
1
2
1
+
1
2
+
2
2
1
+
2
+
1
2
+
2
2
+
3
2
1
+
2
+
3
+
…
.
Then
(where
T
n
and
S
n
denote the
n
t
h
term and sum upto
n
t
h
term respectively.)
Q.
The nth term of the series 1, 2, 3, 4, .... is ________.
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