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JEE Main Math Class 11 Sequences and Series Part 2 Questions
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© examsnet.com
Question : 7
Total: 100
If
A
=
∞
∑
n
=
1
1
(
3
+
(
−
1
)
n
)
n
and
B
=
∞
∑
n
=
1
(
−
1
)
n
(
3
+
(
−
1
)
n
)
n
, then
A
B
is equal to :
[26-Jun-2022-Shift-2]
11
9
1
−
11
9
−
11
3
Validate
Solution:
👈: Video Solution
A
=
∞
∑
n
=
1
1
(
3
+
(
−
1
)
n
)
n
and
B
=
∞
∑
n
=
1
(
−
1
)
n
(
3
+
(
−
1
)
n
)
n
A
=
1
2
+
1
4
2
+
1
2
3
+
1
4
4
+
.
.
.
.
.
.
.
B
=
−
1
2
+
1
4
2
−
1
2
3
+
1
4
4
+
.
.
.
.
.
.
A
=
1
2
1
−
1
4
+
1
16
1
−
1
16
,
B
=
−
1
2
1
−
1
4
+
1
16
1
−
1
16
A
=
11
15
,
B
=
−
9
15
∴
A
B
=
−
11
9
© examsnet.com
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