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JEE Main Math Class 11 Sequences and Series Part 1 Questions
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© examsnet.com
Question : 56
Total: 100
If
a
1
,
a
2
,
a
3
,
.
.
.
,
a
n
,
.
.
.
.
are in A.P. such that
a
4
−
a
7
+
a
10
=
m
,
then the sum of first 13 terms of this A.P., is :
[Online April 23, 2013]
10
m
12
m
13
m
15
m
Validate
Solution:
If
d
be the common difference, then
m
=
a
4
−
a
7
+
a
10
=
a
4
−
a
7
+
a
7
+
3
d
=
a
7
S
13
=
13
2
[
a
1
+
a
13
]
=
13
2
[
a
1
+
a
7
+
6
d
]
=
13
2
[
2
a
7
]
=
13
a
7
=
13
m
© examsnet.com
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