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Byju's Answer
Standard X
Mathematics
Common Difference
If a1, a2, a3...
Question
If a
1
, a
2
, a
3
, ....., a
n
, ..... is an A.P. such that a
18
– a
14
= 32, then its common difference is __________.
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Solution
Given:
a
18
– a
14
= 32
Now,
a
n
=
a
+
n
-
1
d
a
18
=
a
+
18
-
1
d
=
a
+
17
d
a
14
=
a
+
14
-
1
d
=
a
+
13
d
∴
a
18
-
a
14
=
a
+
17
d
-
a
+
13
d
⇒
32
=
17
d
-
13
d
⇒
32
=
4
d
⇒
d
=
8
Hence, if a
1
, a
2
, a
3
, ....., a
n
, ..... is an A.P. such that a
18
– a
14
= 32, then its common difference is
8
.
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40
Similar questions
Q.
Find the common difference of an
A
.
P
.
in which
a
18
−
a
14
=
32.
Q.
What is the common difference of an AP in which
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=
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?
(a) 8 (b) -8 (c) 4 (d) -4
Q.
If
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.
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.
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Then value of
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is
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If
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.
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.
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are
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a
and
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such that
a
,
A
1
,
A
2
,
.
.
.
.
,
A
n
,
b
is an A.P., then
A
1
+
A
2
+
A
3
.
.
.
A
n
Q.
If
a
1
,
a
2
,
a
3
…
are in A.P. with common difference 'd',then
tan
{
tan
−
1
(
d
1
+
a
1
a
2
)
+
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is equal to
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