If `alpha,beta` are the roots of the equation `x^(2)-3x-15`=0 ,and `f(n)=alpha^n+beta^n` then `(f(8)-3f(7)+f(6))/(2f(6))` is equal to
(A) 6
(B) 8
(C) 4
(D) None of these

If alpha,beta are the roots of the equation x^2-2x+4=0 , find alpha^(n)+beta^(n) for (a) n=3k, k in N

If alpha, beta are roots of equation x^(2)-4x-3=0 and s_(n)=alpha^(n)+beta^(n), n in N then the value of (s_(7)-4s_(6))/s_(5) is

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))=

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

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If alpha and beta are the roots of x^(2)+4x+6=0 and N=1/((alpha)/(beta)+(beta)/(alpha)) then N=

If alpha is a root of the equation 4x^(2)+3x-1=0 and f(x)=4x^(2)-3x+1 , then 2(f(alpha)+(alpha)) is equal to

Let alpha and beta be the roots of the equation x^2-6x-2=0 If a_n=alpha^n-beta^n for ngt=0 then find the value of (a_10-2a_8)/(2a_9)

If alpha, beta are roots of the equation 2x^2 + 6x + b = 0 (b < 0), then alpha/beta+beta/alpha is less than

If alpha and beta are roots of equation x^2 +px +q = 0 and f(n) = alpha^n+beta^n , then (i) f(n+1)+pf(n) -qf(n-1)=0 (ii) f(n+1)-pf(n) +qf(n-1)=0 (iii ) f(n+1)+pf(n) +qf(n-1)=0 (iv) f(n+1)-pf(n) -qf(n-1)=0