Home
Class 12
MATHS
Let alpha, beta be the roots of x^2-x-1=...

Let `alpha, beta` be the roots of `x^2-x-1=0 and S_n=alpha^n+beta^n,` for all integers `n >= 1.` Then, for every integern `n >=2.`

A

`s_(n)+S_(n-1)=S_(n+1)`

B

`S_(n)-S_(n-1)=S_(n+1)`

C

`S_(n-1)=S_(n+1)`

D

`S_(n)+S_(n-1)=2S_(n+1)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • A.P.,G.P.,H.P.

    MTG-WBJEE|Exercise WB JEE Previous Years Questions ( CATEGORY 2 : Single Option Correct Type (2 Mark ) )|5 Videos

  • A.P.,G.P.,H.P.

    MTG-WBJEE|Exercise WB JEE WORKOUT ( CATEGORY 3 : One or More than One Option Correct Type (2 Marks))|15 Videos

  • APPLICATION OF DERIVATIVES

    MTG-WBJEE|Exercise WB JEE Previous Years Questions ( CATEGORY 3 : One or More than One Option Correct Type (2 Marks) )|11 Videos

Similar Questions

Explore conceptually related problems

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 x^(2)-2x+4=0 then alpha^(n)+beta^(n) is

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

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

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

Let alpha and beta be the roots of the equation x^(2)-6x-2=0 If a_(n)=alpha^(n)-beta^(n) for n>=0 then find the value of (a_(10)-2a_(8))/(2a_(9))