Let and be the roots of the equation ax^2+bx+c=0 and p_n= ^n+ ^n, where n>1. What is ap_ n+1 +bp_n+cp_ n-1 equal to?

NDA 2026 Mathematics question

Let and be the roots of the equation and , where . What is equal to?

Answer: (A)

$++ = a(α^{n+1}+β^{n+1})+b(α^n+β^n)+c(α^{n-1}+β^{n-1}) =

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Question ID VK-030400