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Byju's Answer
Standard XII
Mathematics
Equality of Matrices
If it is know...
Question
If it is known that
a
1
+
a
4
+
a
7
+
a
10
+
a
13
+
a
16
=
147
then
a
1
+
a
6
+
a
11
+
a
16
=
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Solution
a
11
+
a
4
+
a
7
+
a
10
+
a
13
+
a
16
=
147
6
a
+
45
r
=
147
a
1
+
a
6
+
a
11
+
a
16
=
4
a
+
30
r
=
2
3
(
6
a
+
45
r
)
2
3
(
147
)
=
98
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0
Similar questions
Q.
Find
a
1
+
a
6
+
a
11
+
a
16
if it is known that
a
1
,
a
2
, ___________ is an A.P. and
a
1
+
a
4
+
a
7
+
a
10
+
a
13
+
a
16
=
147
.
Q.
If
a
n
is an A.P and
a
1
+
a
4
+
a
7
+
.
.
.
+
a
16
=
147
, then
a
1
+
a
6
+
a
11
+
a
16
=
Q.
Find
a
1
+
a
6
+
a
11
+
a
16
if it is known that
a
1
,
a
2
.
.
.
.
is an A.P. and
a
1
+
a
4
+
a
7
+
.
.
.
+
a
16
=
147.
Q.
If
a
1
,
a
2
,
a
3
,
⋯
,
a
n
are in A.P. and
a
1
+
a
4
+
a
7
+
⋯
+
a
16
=
114
, then
a
1
+
a
6
+
a
11
+
a
16
is equal to :
Q.
If the sum of first
26
terms of an A.P. is
169
,
then the value of
a
1
+
a
6
+
a
11
+
a
16
+
a
21
+
a
26
is
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