If `alphaa n dbeta` are the roots of `ax^2+bx+c=0a n dS_n=alpha^n+beta^n,` then `a S_(n+1)+b S_n+c S_(n-1)=0`

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 alphaa n dbeta are the rootsof he equations x^2-a x+b=0a n dA_n=alpha^n+beta^n , then which of the following is true? a. A_(n+1)=a A_n+b A_(n-1) b. A_(n+1)=b A_(n-1)+a A_n c. A_(n+1)=a A_n-b A_(n-1) d. A_(n+1)=b A_(n-1)-a A_n

Let alpha and beta be the roots of x^2-6x-2=0 with alpha>beta if a_n=alpha^n-beta^n for n>=1 then the value of (a_10 - 2a_8)/(2a_9)

If alpha, beta, gamma are roots of equation x^(3)-2 x^(2)-1=0 and T_(n)= alpha^(n)+beta^(n)+gamma^(n) , then value of (T_(11)-T_(8))/(T_(10)) is

If alpha,beta are the roots of x^2+p x+q=0a d nx^(2n)+p^n x^n+q^n=0and lf(alpha//beta),(beta//alpha) are the roots of x^n+1+(x+1)^n=0,t h e nn( in N) a. must be an odd integer b. may be any integer c. must be an even integer d. cannot say anything

If alpha,beta are the roots of the equation a x^2+b x+c=0, then find the roots of the equation a x^2-b x(x-1)+c(x-1)^2=0 in term of alphaa n dbetadot

If alpha and beta are the roots of x^(2)-2x+2=0 and cottheta=y+1,show ((y+alpha)^(n)-(y+beta)^(n))/(alpha-beta)=(sinntheta)/(sin^(n)theta)

If alphaa n dbeta(alpha

If alphaa n dbeta are the roots of x^2-a(x+1)-b=0 then find the value of 1//(alpha^2-aalpha)+1//(beta^2-abeta)-2//a+bdot