[" given "],[(1-2x+5x^(2)-10x^(3))(1+x^(n))=1+a_(1)x+],[" and that "a_(1)=2a_(2)" then the "],[" values of "n" "]

Given (1-2x+5x^(2)-10x^(3))(1+x)^(n)=1+a_(1)x+a_(2)x^(2)+ and that a_(1)^(2)=2a_(2) then the value of n is.

Given (1-2x+5x^(2)-10x^(3))(1+x)^(n)=1+a_(1)x+a_(2)x^(2)+ and that a_(1)^(2)=2a_(2) then n=

Given (1+x^(2))^(2)(1+x)^(n)=sum a_(r)x^(r). If a_(0),a_(1) and a_(2) are in A.P.then value of n can be:

Let (1 + x)^(n) = 1 + a_(1)x + a_(2)x^(2) + ... + a_(n)x^(n) . If a_(1),a_(2) and a_(3) are in A.P., then the value of n is

Let (1+x)^(n) = 1+a_(1)x + a_(2)x^(2) + ……+ a_(n)x^(n) . If a_(1), a_(2) and a_(3) are in AP, then the value of n is

(1+x^(2))^(2)(1+x)^(n)=A_(0)+A_(1)x+A_(2)x^(2)+... If A_(0),A_(1),A_(2) are in A.P.then the value of n is-

If (1 + x + x^(2) + x^(3))^(n)= a_(0) + a_(1)x + a_(2)x^(2) + a_(3) x^(3) +...+ a_(3n) x^(3n) , then the value of a_(0) + a_(4) +a_(8) + a_(12)+….. is

If (1 + x + x^(2) + x^(3))^(n)= a_(0) + a_(1)x + a_(2)x^(2) + a_(3) x^(3) +...+ a_(3n) x^(3n) , then the value of a_(0) + a_(4) +a_(8) + a_(12)+….. is