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Question
Mathematics
The sum of the rational terms in the expansion of (√2+31/5)10 is:
Q. The sum of the rational terms in the expansion of
(
2
+
3
1/5
)
10
is:
1613
199
KEAM
KEAM 2004
Report Error
A
41
B
32
C
18
D
9
E
82
Solution:
(
2
1/2
+
3
1/5
)
10
=
10
C
0
2
5
+
10
C
1
2
9/2
.3
1/5
+
....
+
10
C
10
2
0
.3
2
Thus, sum of rational terms of above expansion
=
2
5
+
3
2
=
32
+
9
=
41