If p and q are the coeffcients of `x^n` in `(1+x)^(2n) and (1-4x)^(-1/2),|x| < 1/4` then

If p and q are the coefficients of x^n in (1+x)^(2n-1) and (1+x)^(2n) respectively then 2p=

The coefficient of x^(2) in (1+x)(1+2x)(1+4x)...(1+2^(n)x)

Let the co-efficients of x^n In (1+x)^(2n) and (1+x)^(2n-1) be P & Qrespectively, then ((P+Q)/Q)^5=

Let the co-efficients of x^(n) In (1+x)^(2n) and (1+x)^(2n-1) be P& Qrespectively,then ((P+Q)/(Q))^(5)=

The co-efficients of the expansion of (1+x)^(2n-1) and (1+x)^(2n) are P and Q resp.Calculate the relation between P and Q.

Statement-1: The middle term of (x+(1)/(x))^(2n) can exceed ((2n)^(n))/(n!) for some value of x. Statement-2: The coefficient of x^(n) in the expansion of (1-2x+3x^(2)-4x^(3)+ . . .)^(-n) is (1*3*5 . . .(2n-1))/(n!)*2^(n) . Statement-3: The coefficient of x^(5) in (1+2x+3x^(2)+ . . .)^(-3//2) is 2.1.

Statement-1: The middle term of (x+(1)/(x))^(2n) can exceed ((2n)^(n))/(n!) for some value of x. Statement-2: The coefficient of x^(n) in the expansion of (1-2x+3x^(2)-4x^(3)+ . . .)^(-n) is (1*3*5 . . .(2n-1))/(n!)*2^(n) . Statement-3: The coefficient of x^(5) in (1+2x+3x^(2)+ . . .)^(-3//2) is 2.1.

The coefficient of x^(p)" in"(1+x)^(p)+(1+x)^(p+1)+…+(1+x)^(n), p lt n , is