The value of `4{ C_1 +4. C_2 +4^2 C_3 + ... +4^(n-1)}` is

2. C_2 + 6. C_3 + 12. C_4 +….. + n (n-1) . C_n=

The value of C_(1)+4C_(2)+7C_(3)+ . . .+(3n-2)C_(n) is

C_1 + 4.C_2 +7.C_3 +…….+(3n-2).C_n=

The value of |1 1 1\ ^n C_1\ ^(n+2)C_1\ ^(n+4)C_1\ ^n C_2\ ^(n+2)C_2\ ^(n+4)C_2| is (a) 2 (b) 4 (c) 8 (d) n^2

C_(1) + 4.C_(2) + 7.C_(3) +......+(3n - 2).C_(n) =

The value of |[1, 1 ,1],[\ ^n C_1,\ ^(n+2)C_1,\ ^(n+4)C_1],[\ ^n C_2,\ ^(n+2)C_2,\ ^(n+4)C_2]| is (a) 2 (b) 4 (c) 8 (d) n^2

If C_(0), C_(1), C_(2),..., C_(n) denote the binomial coefficients in the expansion of (1 + x)^(n) , then . 1. C_(1) - 2 . C_(2) + 3.C_(3) - 4. C_(4) + ...+ (-1)^(n-1) nC_(n)=

If C_(0), C_(1), C_(2),..., C_(n) denote the binomial coefficients in the expansion of (1 + x)^(n) , then . 1. C_(1) - 2 . C_(2) + 3.C_(3) - 4. C_(4) + ...+ (-1)^(n-1) nC_(n)=