In the expansion of `(1+x)^(50),` find the sum of coefficients of odd powers of `xdot`

In the expansion of (1+x)^(70) , the sum of coefficients of odd powers of x is

In the expansion of (1+x)^30 the sum of the coefficients of odd powers of x is

Observe the following statements : Statement -I : In the expansion of (1+x)^50, the sum of the coefficients of odd powers of x is 2^50 . Statement -II : The coefficient of x^4 in the expansion of (x/2 - (3)/(x^2))^10 is equal to 504/259 . Then the true statements are :

In the expansion of (1+x)^50 the sum of the coefficients of odd power of x is (A) 0 (B) 2^50 (C) 2^49 (D) 2^51

Show that the coefficient of the middle term in the expansion of (1 + x)^(2n) is the sum of the coefficients of two middle terms in the expansion of (1 + x)^(2n-1) .

Prove that the coefficient of the middle term in the expansion of (1+x)^(2n) is equal to the sum of the coefficients of middle terms in the expansion of (1+x)^(2n-1)

Show that the coefficient of the middle term in the expansion of (1+x)^(2n) is equal to the sum of the coefficients of two middle terms in the expansion of (1+x)^(2n-1) .

Assertion (A) : In the (1+x)^50 , the sum of the coefficients of odd powers of x is 2^49 Reason ( R) : The sum of coefficients of odd powers of x in (1+x)^n is 2^(n-1)

how that the coefficient of (r+1) th in the expansion of (1+x)^(n+1) is equal to the sum of the coefficients of the r th and (r+1) th term in the expansion of (1+x)^n

Find the sum of the coefficients of integral powers of x in (1+3sqrtx)^20