Fermi · Concept Library · Courses · Books · Problems · Simulations · Math Wiki · High School Fermi › Problems If are the roots of the equation
MATHEMATICS · Single correct · CBSE · Mathematics · Polynomials · Polynomials
Problem If α , β \alpha, \beta α , β x 2 − x − 1 = 0 x^2 - x - 1 = 0 x 2 − x − 1 = 0 S n = 2023 α n + 2024 β n S_n = 2023\alpha^n + 2024\beta^n S n = 2023 α n + 2024 β n 2 S 12 = S 11 + S 10 2S_{12} = S_{11} + S_{10} 2 S 12 = S 11 + S 10 S 12 = S 11 + S 10 S_{12} = S_{11} + S_{10} S 12 = S 11 + S 10 2 S 11 = S 12 + S 10 2S_{11} = S_{12} + S_{10} 2 S 11 = S 12 + S 10 S 11 = S 10 + S 12 S_{11} = S_{10} + S_{12} S 11 = S 10 + S 12 Browse the problem library