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Byju's Answer
Standard X
Mathematics
Formula for Sum of n Terms of an AP
If 6/5, a...
Question
If
6
5
,
a
,
4
are in AP, the value of
a
is
A
1
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B
13
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C
13
5
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D
26
5
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Solution
The correct option is
D
13
5
Given,
6
5
,
a
,
4
are in AP
If
a
1
,
a
2
,
a
3
are in AP, the common difference will be the same
⇒
d
=
a
2
−
a
1
=
a
3
−
a
2
For the given terms:
6
5
,
a
,
4
∴
d
=
a
−
6
5
=
4
−
a
⇒
2
a
=
6
5
+
4
⇒
2
a
=
6
+
20
5
⇒
a
=
26
10
=
13
5
Suggest Corrections
0
Similar questions
Q.
If
I
=
13
4
÷
5
6
I
I
=
13
÷
[
(
4
÷
5
)
÷
6
]
,
I
I
I
=
[
13
÷
(
4
÷
5
)
]
÷
6
and
I
V
=
13
÷
4
(
5
÷
6
)
then, which of the following are equal?
Q.
If
(
2
p
+
1
)
,
13
,
(
5
p
-
3
)
are three consecutive terms of an AP, then p = ?
(a) 4
(b) 5
(c) 6
(d) 3
Q.
If
(
2
p
+
1
)
,
13
,
(
5
p
-
3
)
are in AP, find the value of p.
Q.
Solve :
13
5
6
×
1
5
26
Q.
(
−
9
13
×
5
6
)
−
(
−
9
13
×
4
6
)
=
−
9
13
×
(
5
6
−
4
6
)
.
If true then enter
1
and if false then enter
0
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