If `alpha` and `beta` are the roots of the equation `x^2-ax+b=0` and `A_n=alpha^n+beta^n`,

lf alpha and beta are the roots of the equation x^2-ax + b = 0 and A_n = alpha^n + beta^n , then which of the following is true ?

If alpha and beta are the roots of the equation x^(2)-ax-ax+b=0 and v_(n)=alpha^(n)=beta^(n) , show that v_(n+1)=av_(n)-bv_(n-1) and hence obtain the value of alpha^(5)+beta^(5) .

If alpha and beta are the roots of the equation ax^(2)+bx+b=0 and S_(n)=alpha^(n)+beta^(n), then aS_(n+1)+bS_(n)+cS_(n-1)=

If alpha, beta arethe roots of the equation x^2-ax+b=0 and A_n=alpha^n+beta^n then which of the following is true? (A) A_(n+1)=aA_n+bA_(n-1) (B) A_(n+1)=bA_n+aA_(n-1) (C) A_(n+1)=aA_n-bA_(n-1) (D) A_(n+1)=bA_n+-aA_(n-1)

If alpha , beta are the roots of the equation ax^(2)+bx+c=0 and S_(n)=alpha^(n)+beta^(n) , then aS_(n+1)+bS_(n)+cS_(n-1)=(n ge 2)

If alpha , beta are the roots of the equation ax^(2)+bx+c=0 and S_(n)=alpha^(n)+beta^(n) , then aS_(n+1)+bS_(n)+cS_(n-1)=(n ge 2)

If alpha , beta are the roots of the equation ax^(2)+bx+c=0 and S_(n)=alpha^(n)+beta^(n) , then aS_(n+1)+bS_(n)+cS_(n-1)=(n ge 2)