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Byju's Answer
Standard XII
Mathematics
Definition of Functions
Find the nth ...
Question
Find the nth term of the sequence
1
2
,
2
3
,
3
4
,
.
.
.
.
.
.
.
.
.
.
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Solution
In the given sequence is
1
2
,
2
3
,
3
4
,
.
.
.
.
.
.
, the first term
t
1
=
1
2
, second term
t
2
=
2
3
and third term
t
3
=
3
4
.
We observe that:
t
1
=
1
1
+
1
=
1
2
and
t
2
=
2
2
+
1
=
2
3
and so on...
Therefore, the given sequence is of the form
t
n
=
n
n
+
1
.
Hence,
the nth term of the sequence is
t
n
=
n
n
+
1
.
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