JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Application +4 | -1

\alpha, \beta

are the roots of the equation

x^2-x-1=0

and

S_n=2023 \alpha^n+2024 \beta^n,

then:

View answer and explanation

Correct option: D

S_{12}=S_{11}+S_{10}

Option D is correct because it correctly applies Newton's method to the recurrence relation derived from the given quadratic equation.

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