[" Let "p,q" be integers and let "alpha,beta" be the roots of the equation,"x^(2)-x-1=0," where "alpha!=beta" .For "],[n=0,1,2,...," let "a_(n)=p alpha^(n)+q beta^(n)]

Let A,B be integers and let alpha,beta be the roots of the equation,x^(2)-x-1=0, where alpha!=beta For n=0,1,2,..., Let a_(n)=A alpha^(-n)+B beta^(-n)

Let p,q be integers and let alpha,beta be the roots of the equation x^(2)-2x+3=0 where alpha!=beta For n=0,1,2,......, Let alpha_(n)=p alpha^(n)+q beta^(n) value alpha_(9)=

Let p, q be integers and let alpha,beta be the roots of the equation x^2-2x+3=0 where alpha != beta For n= 0, 1, 2,......., Let alpha_n=palpha^n+qbeta^n value alpha_9=

Let alpha and beta be the roots of the equation 5x^2+6x-2=0 . If S_n=alpha^n+beta^n, n=1,2,3.... then

Let alpha and beta be the roots of the equation 5x^2+6x-2=0 . If S_n=alpha^n+beta^n, n=1,2,3.... then

If alpha and beta are the roots of the equation x^(2)-ax+b=0 and A_(n)=alpha^(n)+beta^(n)

Let alpha and beta be the roots of the equation 5x^2 + 6x-2 =0 if S_(n ) = alpha ^(n) + beta^(n) , n= 1,2,3 ..,, then :