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

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

The co-efficient of x^(n) in (1+x+2x^(2)+3x^(3)+...+nx^(n))^(2) is

In in the expansion of (1+px)^(q) , q belongs to N , the coefficients of x and x^(2) are 12 and 60 respectively then p and q are

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

In the expansion of (1+x)^(n) the coefficient of p^(th) and (p+1)^(th) terms are respectively p and q.Then p+q=

If ""(n)C_(0), ""(n)C_(1), ""(n)C_(2), ...., ""(n)C_(n), denote the binomial coefficients in the expansion of (1 + x)^(n) and p + q =1 sum_(r=0)^(n) r^(2 " "^n)C_(r) p^(r) q^(n-r) = .

If the coefficient of p^(th) term in the expansion of (1+x)^(n) is p and the coefficient of (p+1)^(th) term is q then n=

if f(x)=lim_(n rarr oo)((1+sin x)^(n)+e^(x))/(1+(1+sin x)^(n)) where x in[-2 pi,2 pi], If p,q denotes number of values of x where f(x) is discontinuous and non-derivable respectively then 'p+q' is equal to

if n is a positive integer,find the co-efficient of x^(n) in the expansion of ((3x-2)^(n))/((1-x)^(2))