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JEE Main Math Class 11 Sequences and Series Part 1 Questions
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© examsnet.com
Question : 82
Total: 100
Let
a
1
,
a
2
,
a
3
.
.
.
.
.
.
.
.
.
.
.
.
be terms on A.P. If
a
1
+
a
2
+
.
.
.
.
.
.
.
.
.
.
a
p
a
1
+
a
2
+
.
.
.
.
.
.
.
.
.
.
.
+
a
q
=
p
2
q
2
,
p
≠
q
,
then
a
6
a
21
equals
[2006]
41
11
7
2
2
7
11
41
Validate
Solution:
Given that
S
p
S
q
=
p
2
[
2
a
1
+
(
p
−
1
)
d
]
q
2
[
2
a
1
+
(
q
−
1
)
d
]
=
p
2
q
2
⇒
2
a
1
+
(
p
−
1
)
d
2
a
1
+
(
q
−
1
)
d
=
p
q
Put
p
=
11
and
q
=
41
a
1
+
5
d
a
1
+
20
d
=
11
41
⇒
a
6
a
21
=
11
41
© examsnet.com
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