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In the expansion of
(
1
+
x
)
n
(1 + x)^n
(
1
+
x
)
n
,
n
C
1
n
C
0
+
2
⋅
n
C
2
n
C
1
+
3
⋅
n
C
3
n
C
2
+
⋯
+
n
⋅
n
C
n
n
C
n
−
1
\frac{{}^nC_1}{{}^nC_0} + 2 \cdot \frac{{}^nC_2}{{}^nC_1} + 3 \cdot \frac{{}^nC_3}{{}^nC_2} + \dots + n \cdot \frac{{}^nC_n}{{}^nC_{n-1}}
n
C
0
n
C
1
+
2
⋅
n
C
1
n
C
2
+
3
⋅
n
C
2
n
C
3
+
⋯
+
n
⋅
n
C
n
−
1
n
C
n
is equal to:
KCET - 2024
KCET
Mathematics
Series
The
n
t
h
n^{th}
n
t
h
term of the series
1
+
3
+
7
+
13
+
21
+
1+3 + 7 + 13 + 21 +
1
+
3
+
7
+
13
+
21
+
is
9901
9901
9901
. The value of
n
n
n
is ................
KCET - 2010
KCET
Mathematics
Series