[" 2.If "alpha,beta" are the roots of "x^(2)+x+1=0" and "S_(n)=alpha^(n)+beta^(n)" then "],[[3,1+S_(1),1+S_(2)],[1+S_(1),1+S_(2),1+S_(3)],[1+S_(2),1+S_(3),1+S_(4)]|=]

If alpha,beta are the roots of x^(2)+x+1=0 , and s_(n)=alpha^(n)+beta^(n) , then |[3,1+S_(1),1+S_(2)],[1+S_(1),1+S_(2),1+S_(3)],[1+S_(2),1+S_(3),1+S_(4)]|=?

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

alpha and beta are the roots of x^2-x-1=0 and S_n=2023 alpha^n 2024 beta^n then

If alpha,beta are the roots of the equation, x^(2)-x-1=0 and S_(n)=2023 alpha^(n)+2024 beta^(n) ,then 2S_(12)=S_(11)+S_(10)

If alpha, beta are the roots of x^2 + x +1 = 0 and s_n=alpha^n+beta^n then |[3,1+s_1,1+s_2],[1+s_1,1+s_2,1+s_3],[1+s_2,1+s_3,1+s_4]|

[ Let alpha,beta be the roots of x^(2)-2x+5=0 and let S_(n)=alpha^(n)+beta^(n) for ngt=1, then the value of |[3,1+S_(2),1+S_(3)1+S_(2),1+S_(4),1+S_(5)1+S_(3),1+S_(5),1+S_(6)]| is equal to [ (1) -12544, (2) 12544 (3) -4704, (4) -4712]]

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)