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JEE Main 8 Apr 2024 Shift 2 Solved Paper
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© examsnet.com
Question : 4
Total: 90
In an increasing geometric progression ol positive terms, the sum of the second and sixth terms is
70
3
and the product of the third and fifth terms is 49. Then the sum of the
4
th
,
6
th
and
8
th
terms is :-
[8 Apr 2024 Shift 2]
96
78
91
84
Validate
Solution:
👈: Video Solution
T
2
+
T
6
=
70
3
a
r
+
a
r
5
=
70
3
T
3
⋅
T
5
=
49
ar
2
⋅
ar
4
=
49
a
2
r
6
=
49
a
3
=
+
7
,
a
=
7
r
3
ar
(
1
+
r
4
)
=
70
3
7
r
2
(
1
+
r
4
)
=
70
3
,
r
2
=
t
1
t
(
1
+
t
2
)
=
10
3
3
t
2
−
10
t
+
3
=
0
t
=
3
,
1
3
Increasing G.P.
r
2
=
3
,
r
=
√
3
T
4
+
T
6
+
T
8
=
a
r
3
+
a
r
5
+
a
r
7
=
a
r
3
(
1
+
r
2
+
r
4
)
=
7
(
1
+
3
+
9
)
=
91
© examsnet.com
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