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Test Index
JEE Main Math Class 11 Sequences and Series Part 3 Questions
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© examsnet.com
Question : 32
Total: 101
The sum of the series
1
1
−
3
⋅
1
2
+
1
4
+
2
1
−
3
⋅
2
2
+
2
4
+
3
1
−
3
⋅
3
2
+
3
4
+
.
.
.
. up to 10 terms is
[31-Jan-2024 Shift 1]
45
109
−
45
109
55
109
−
55
109
Validate
Solution:
👈: Video Solution
General term of the sequence,
T
r
=
r
1
−
3
r
2
+
r
4
T
r
=
r
r
4
−
2
r
2
+
1
−
r
2
T
r
=
r
(
r
2
−
1
)
2
−
r
2
T
r
=
r
(
r
2
−
r
−
1
)
(
r
2
+
r
−
1
)
T
r
=
1
2
[
(
r
2
+
r
−
1
)
−
(
r
2
−
r
−
1
)
]
(
r
2
−
r
−
1
)
(
r
2
+
r
−
1
)
=
1
2
[
1
r
2
−
r
−
1
−
1
r
2
+
r
−
1
]
Sum of 10 terms,
10
∑
r
=
1
T
r
=
1
2
[
1
−
1
−
1
109
]
=
−
55
109
© examsnet.com
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