Home
Class 11
MATHS
Statement1: if n in Na n dn is not a m...

Statement1: if `n in Na n dn` is not a multiple of 3 and `(1+x+x^2)^n=sum_(r=0)^(2n)a_r x^r ,` then the value of `sum_(r=0)^n(-1)^r a r^n C_r` is zero Statement 2: The coefficient of `x^n` in the expansion of `(1-x^3)^n` is zero, if `n=3k+1orn=3k+2.`

Promotional Banner

Similar Questions

Explore conceptually related problems

Statement : if n in Nandn is not a multiple of 3 and (1+x+x^(2))^(n)=sum_(r=0)^(2n)a_(r)x^(r), then the value of sum_(r=0)^(n)(-1)^(r)ar^(n)C_(r) is zero Statement 2: The cofficient of x^(n) in the expansion of n=3k+1 or n=3k+2

If n in N such that is not a multiple of 3 and (1+x+x^(2))^(n) = sum_(r=0)^(2n) a_(r ). X^(r ) , then find the value of sum_(r=0)^(n) (-1)^(r ).a_(r).""^(n)C_(r ) .

If n in N such that is not a multiple of 3 and (1+x+x^(2))^(n) = sum_(r=0)^(2n) a_(r ). X^(r ) , then find the value of sum_(r=0)^(n) (-1)^(r ).a_(r).""^(n)C_(r ) .

If (4x^(2) + 1)^(n) = sum_(r=0)^(n)a_(r)(1+x^(2))^(n-r)x^(2r) , then the value of sum_(r=0)^(n)a_(r) is

If (4x^(2) + 1)^(n) = sum_(r=0)^(n)a_(r)(1+x^(2))^(n-r)x^(2r) , then the value of sum_(r=0)^(n)a_(r) is

If a_r is the coefficient of x^r in the expansion of (1-2x+3x^2)^n then sum_(r=0)^(2n) r a_r =

If (1-x^2)^n=sum_(r=0)^na_rx^r(1-x)^(2n-r) , then a_r is equal to

If (4x^(2) + 1)^(n) = sum_(r=0)^(n)a_(r)(1+x^(2))^(n-r)x^(2r) , then the value of

If (4x^(2) + 1)^(n) = sum_(r=0)^(n)a_(r)(1+x^(2))^(n-r)x^(2r) , then the value of