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Byju's Answer
Standard XII
Mathematics
Sequence
Find the 10...
Question
Find the
1000
th term of the sequence
3
,
4
,
5
,
6
, ..........
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Solution
We know that the formula for the nth term is
t
n
=
a
+
(
n
−
1
)
d
, where
a
is the first term,
d
is the common difference.
It is given that
the first term
a
=
3
, the common difference
d
=
4
−
3
=
1
and
n
=
1000
,
therefore,
t
1000
=
3
+
(
1000
−
1
)
1
=
3
+
999
=
1002
Hence, the
1000
th term of the sequence is
1002
.
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Similar questions
Q.
A sequence is defined by
a
n
=
n
2
−
1
n
+
1
. The difference of its 1000th and 900th term is