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Byju's Answer
Standard X
Mathematics
Common Difference
An arithmetic...
Question
An arithmetic progression has 10 terms.The sum of the odd terms is 245 whereas the sum of the even terms is 305 . Find the common difference.
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Solution
Dear student,
L
e
t
a
1
,
a
2
,
a
3
,
a
4
,
a
5
,
.
.
.
.
.
.
.
a
10
b
e
t
h
e
t
e
r
m
s
o
f
A
P
t
h
e
n
s
u
m
o
f
o
d
d
t
e
r
m
s
=
245
⇒
a
1
+
a
3
+
a
5
+
a
7
+
a
9
=
245
⇒
a
+
a
+
2
d
+
a
+
4
d
+
a
+
6
d
+
a
+
8
d
=
245
⇒
5
a
+
20
d
=
245
⇒
a
+
4
d
=
49
-
-
[
1
]
a
n
d
t
h
e
s
u
m
o
f
e
v
e
n
t
e
r
m
s
=
305
⇒
a
2
+
a
4
+
a
6
+
a
8
+
a
10
=
305
⇒
a
+
d
+
a
+
3
d
+
a
+
5
d
+
a
+
7
d
+
a
+
9
d
=
305
⇒
5
a
+
25
d
=
305
⇒
a
+
5
d
=
61
-
-
[
2
]
s
o
l
v
i
n
g
[
1
]
a
n
d
[
2
]
a
+
4
d
=
49
a
+
5
d
=
61
-
-
-
-
d
=
-
12
⇒
d
=
12
t
h
u
s
,
t
h
e
r
e
q
u
i
r
e
d
c
o
m
m
o
n
d
i
f
f
e
r
e
n
c
e
i
s
12
.
Regards
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