Question

Let α and β be the roots of x² – x – 1 = 0, with α > β. For all positive integers n, define

a= ,  αⁿ - βⁿ / α -β , n ≥ 1, 

b₁ = 1 and b_n = a_{n – 1} + a_{n + 1}, n ≥ 2.

Then which of the following options is/are correct?

Answer 1

Correct Option :-  (A, B, C)

Explanation :-