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=Aalpha^(-n) + Bbeta^(-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)-x-1=0, where alpha!=beta. For n=0,1,2,..., let a_(n)=p alpha^(n)+q beta^(n). FACT : If a and b are rational number and a+b sqrt(5)=0, then a=0=b. If a_(4)=28, then p+2q=7 (b) 21( c) 14 (d) 12

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, beta are the roots of the equation x^(2)+x+1=0 , then alpha^3-beta^3

Let alpha, and beta are the roots of the equation x^(2)+x +1 =0 then

Let alpha, and beta are the roots of the equation x^(2)+x +1 =0 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

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