If are the roots of the equation and

MATHEMATICS · Single correct · CBSE · Mathematics · Polynomials · Polynomials

Problem

If α,β\alpha,\beta are the roots of the equation ax2+bx+c=0ax^2+bx+c=0 and an=αn+βna_n=\alpha^n+\beta^n, then aan+2+ban+1+canaa_{n+2}+ba_{n+1}+ca_n is equal to (1) 00 (2) 11 (3) a+b+ca+b+c (4) abcabc

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