The coefficient of `x^100` in the expansion `sum_(r=0) ^ 200 ( 1+x)^r` is

The coefficient of x^52 in the expansion sum_(m=0)^100 ^(100)C_m(x-3)^(100-m).2^m is:

The coefficient of x^(r) in the expansion of (1-x)^(-2) is

The coefficient of x^(53) in the expansion of sum_(m=0)^(100) ^100C_m(x-3)^(100-m) 2^m is equal to

The coefficient of x^(50) in the expansion sum_(k=0)^(100)""^(100)C_(k)( x-2)^(100-k)3^(k) is also equal to :

The coefficient of x^(50) in the expansion sum_(k=0)^(100)""^(100)C_(k)( x-2)^(100-k)3^(k) is also equal to :

The coefficient of x^53 in the following expansion sum_(m=0)^100 ^100C_m (x - 3)^(100 - m) . 2^m is

The coefficient of x^(53) in the expansion of: sum_(m=0)^(100)""^(100)C_(m)(x-3)^(100-m)2^m is:

The coefficient of x^(r) in the expansion of (1-2x)^(-(1)/(2)) is