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Byju's Answer
Standard XII
Mathematics
Summation by Sigma Method
Find the 50...
Question
Find the
50
t
h
term of the sequence:
1
n
,
n
+
1
n
,
2
n
+
1
n
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
Open in App
Solution
a
=
1
n
d
=
2
n
+
1
n
−
n
+
1
n
=
n
+
1
n
−
1
n
=
1
T
n
=
a
+
(
n
−
1
)
d
T
50
=
1
n
+
(
50
−
1
)
1
=
1
+
49
n
n
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1
Similar questions
Q.
Find the
7
t
h
term of the sequence whose
n
t
h
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a
n
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Q.
Write the first three terms in a sequence whose
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t
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∀
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Q.
Let
(
a
n
)
n
≥
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be a sequence of non-negative such that
a
n
≥
a
2
n
+
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for all
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Prove that for any positive integer N we can find N consecutive terms of the sequence, all equal to zero.
Q.
Find the indicated terms in each of the sequences whose
n
t
h
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(i)
a
n
=
n
+
2
2
n
+
3
;
a
7
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a
9
(ii)
a
n
=
(
−
1
)
n
2
n
+
3
(
n
+
1
)
;
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5
,
a
8
(iii)
a
n
=
2
n
2
−
3
n
+
1
;
a
5
,
a
7
(iv)
a
n
=
(
−
1
)
n
(
1
−
n
+
n
2
)
;
a
5
,
a
8
Q.
Find the
10
t
h
term of the sequence defined by a
a
n
=
(
−
1
)
2
n
−
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n
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