PracticeMedium
Q.If α, β are roots of x² – x – 1 = 0 and αⁿ + βⁿ = Fₙ, then Fₙ satisfies the recurrence
a
Fₙ = Fₙ₋₁ + Fₙ₋₂
b
Fₙ = Fₙ₋₁ – Fₙ₋₂
c
Fₙ = 2Fₙ₋₁ + Fₙ₋₂
d
none
Correct Answer: Option A
The correct solution involves applying the fundamental concept to derive the final value step by step...