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JEE Advanced 2014 Paper 1 Mathematics Q11
Mathematics
Problem
Let
a
,
b
,
c
a,b,c
a
,
b
,
c
be positive integers such that
b
/
a
b/a
b
/
a
is an integer. If
a
,
b
,
c
a,b,c
a
,
b
,
c
are in geometric progression and the arithmetic mean of
a
,
b
,
c
a,b,c
a
,
b
,
c
is
b
+
2
b+2
b
+
2
, then the value of
a
2
+
a
−
14
a
+
1
\dfrac{a^2+a-14}{a+1}
a
+
1
a
2
+
a
−
14
is
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