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Byju's Answer
Standard X
Mathematics
Common Difference
Mark the corr...
Question
Mark the correct alternative in the following question:
The 10th common term between the A.P.s 3, 7, 11, 15, ... and 1, 6, 11, 16, ... is
(a) 191 (b) 193 (c) 211 (d) none of these
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Solution
As
,
the
common
difference
of
the
A
.
P
.
3
,
7
,
11
,
15
,
.
.
.
=
7
-
3
=
4
and
the
common
difference
of
the
A
.
P
.
1
,
6
,
11
,
16
,
.
.
.
=
6
-
1
=
5
And
,
the
common
terms
of
both
the
A
.
P
.
s
will
be
in
A
.
P
.
So
,
the
common
difference
of
the
A
.
P
.
of
the
common
terms
,
d
=
LCM
4
,
5
=
4
×
5
=
20
and
its
first
common
term
,
a
=
11
Now
,
the
tenth
common
term
,
a
10
=
a
+
10
-
1
d
=
11
+
9
×
20
=
11
+
180
=
191
Hence, the correct alternative is option (a).
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