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Mathematics
Mathematics
Problem
If the coefficients of
r
th
r^{\text{th}}
r
th
,
(
r
+
1
)
th
(r+1)^{\text{th}}
(
r
+
1
)
th
and
(
r
+
2
)
th
(r+2)^{\text{th}}
(
r
+
2
)
th
terms in the binomial expansion of
(
1
+
y
)
m
(1+y)^m
(
1
+
y
)
m
are in A.P., then
m
m
m
and
r
r
r
satisfy the equation (a)
m
2
−
m
(
4
r
−
1
)
+
4
r
2
+
2
=
0
m^2 - m(4r - 1) + 4r^2 + 2 = 0
m
2
−
m
(
4
r
−
1
)
+
4
r
2
+
2
=
0
(b)
m
2
−
m
(
4
r
+
1
)
+
4
r
2
−
2
=
0
m^2 - m(4r + 1) + 4r^2 - 2 = 0
m
2
−
m
(
4
r
+
1
)
+
4
r
2
−
2
=
0
(c)
m
2
−
m
(
4
r
+
1
)
+
4
r
2
+
2
=
0
m^2 - m(4r + 1) + 4r^2 + 2 = 0
m
2
−
m
(
4
r
+
1
)
+
4
r
2
+
2
=
0
(d)
m
2
−
m
(
4
r
−
1
)
+
4
r
2
−
2
=
0
m^2 - m(4r - 1) + 4r^2 - 2 = 0
m
2
−
m
(
4
r
−
1
)
+
4
r
2
−
2
=
0
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