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

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))=

If alpha and beta are roots of the equation x^(2)-3x+1=0 and a_(n)=alpha^(n)+beta^(n)-1 then find the value of (a_(5)-a_(1))/(a_(3)-a_(1))

If alpha,beta are the roots of equation x^(2)-10x+2=0 and a_(n)=alpha^(n)-beta^(n) then sum_(n=1)^(50)n.((a_(n+1)+2a_(n-1))/(a_(n))) is more than (a)12500 (b)12250 (c)12750 (d)12000

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 are roots of equation x^(2)-x-1=0 with alpha > beta . For all positive integers n defines a_(n)=(alpha^(n)-beta^(n))/(alpha-beta) , n>1 and b=1 and b_(n)=a_(n+1)+a_(n-1) then

If a_(1) = 2 and a_(n) - a_(n-1) = 2n (n ge 2) , find the value of a_(1) + a_(2) + a_(3)+…+a_(20) .

If a_(0) = 0.4 and a_(n+1) = 2|a_(n)|-1 , then a_(5) =

Let alpha and beta are roots of x^(2) - 17x - 6 = 0 with alpha gt beta, if a_(n) = alpha^(n+2)+beta^(n+2) for n ge 5 then the value of (a_(10)-6a_(8)-a_(9))/(a_(9))

If a_(i)gt0 for i u=1, 2, 3, … ,n and a_(1)a_(2)…a_(n)=1, then the minimum value of (1+a_(1))(1+a_(2))…(1+a_(n)) , is

Equation x^(n)-1=0, ngt1, n in N," has roots "1,a_(1),a_(2),…,a_(n-1). The value of (1-a_(1))(1-a_(2))…(1-a_(n-1)) is