if `a_(n=(alpha^(n)-beta^(n))/(alpha-beta)` where `alpha` and `beta` are roots of equation `x^(2)-x-1=0` and `b_(n)=a_(n+1)+a_(n-1)` then

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

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

If 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+b=0 and A_(n)=alpha^(n)+beta^(n), then which of the following is true?

If alpha, beta are the roots of x^(2)-a x+b=0 and A_(n)='alpha'^(n)+beta^(n) , then A_(n+1)=

Find the value of x such that ((x+alpha)^(n)-(x+beta)^(n))/(alpha-beta)=(sin(n theta))/(sin^(n)theta), where alpha and beta are the roots of the equation t^(2)-2t+2=0

If ""_(alpha)and _(beta) are the roots of equation x^(2)-3x+1=0and a_(n)=alpha^n+beta^(n),ninN then value of (a_(7)+a_(5))/(a_(6))=