" If "(x-2)^(100)=sum_(r=0)^(100)a_(r)*x^(r)," then "a_(1)+2a_(2)+.....+100a_(100)=

If (1+x-2x^(2))^(6)=sum_(r=0)^(12)a_(r).x^(r) then a_(1)+a_(3)+......a_(11)

If (1+2x+x^(2))^(n) = sum_(r=0)^(2n)a_(r)x^(r) , then a_(r) =

If (1+2x+x^(2))^(n) = sum_(r=0)^(2n)a_(r)x^(r) , then a_(r) =

(1+x-2x^(2))^(6)=sum_(r=0)^(12)a_(r)x^(r) then a_(2)+a_(4)+....+a_(12)=

If (1+2 x+x^(2))^(n)=sum_(r=0)^(2 n) a_(r) x^(r) , then a_(r) =

If (1+x+x^(2))^(n) = sum_(r=0)^(2 n) a_(r). x^(r) then a_(1)-2 a_(2)+3 a_(3)-..-2 n. a_(2n) =

if (1-x+2x^(2))^(10)=sum_(0)^(20)a_(r)*x^(r) then find sum_(1)^(10)a_(2r-1)

If n in N and if (1+4x+4x^(2))^(n)=sum_(r=0)^(2a)a_(r)x^(r) where a_(0),a_(1),a_(2),......,a_(2n) are real numbers. The value of 2sum_(r=0)^(n)a_(2r), is

If (1+x+x^(2))^(n)=sum_(r=0)^(2n)a_(r)x^(r), then prove that a_(r)=a_(2n-r)