Home
Class 11
MATHS
If alphaa n dbeta are the rootsof he eq...

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`

Text Solution

AI Generated Solution

Promotional Banner

Similar Questions

Explore conceptually related problems

If alpha, beta arethe roots of the equation x^2-ax+b=0 and A_n=alpha^n+beta^n then which of the following is true? (A) A_(n+1)=aA_n+bA_(n-1) (B) A_(n+1)=bA_n+aA_(n-1) (C) A_(n+1)=aA_n-bA_(n-1) (D) A_(n+1)=bA_n+-aA_(n-1)

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))

Let alpha,beta be roots of the equation x^(2)-x-1=0 and A_(n)=alpha^(n)+beta^(n),n in I then A_(n+2)+A_(n-2) is equal to-

If alpha,beta be the roots of x^(2)-x-1=0 and A_(n)=alpha^(n)+beta^(n), then A . M of A_(n-1) and A_(n), is

Differentiate the following with respect of x:a_(0)x^(n)+a_(1)x^(n-1)+a_(2)x^(n-2)++a_(n-1)x+a_(n)

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 quad 1,a_(1)=3 and a_(n)^(2)-a_(n-1)*a_(n+1)=(-1)^(n) Find a_(3).

Find the next five terms of each of the following sequences given by: a_(1)=1,a_(n)=a_(n-1)+2,n>=2a_(1)=a_(2)=2,a_(n)=a_(n-1)-3,n>2a_(1)=-1,a_(n)=(a_(n-1))/(n),n>=2a_(1)=4,a_(n)=4a_(n-1)+3,n>1