The Lucas sequence L n is defined by the recurrence relation: L n = L n−1 + L n−2 , for n ≥ 3, with L 1 = 1 and L 2 = 3. Which one of the options given is TRUE?

Question

cdquestions Admin · Accepted Answer

The correct option is (A)

Answer

$L_n=(\frac{1+\sqrt5}{2})^n+(\frac{1-\sqrt5}{2})^n$

Answer

$L_n=(\frac{1+\sqrt5}{2})^n-(\frac{1-\sqrt5}{3})^n$

Answer

$L_n=(\frac{1+\sqrt5}{2})^n+(\frac{1-\sqrt5}{3})^n$

Answer

$L_n=(\frac{1+\sqrt5}{2})^n-(\frac{1-\sqrt5}{2})^n$

The Lucas sequence L_n is defined by the recurrence relation: L_n = L_n−1 + L_n−2, for n ≥ 3, with L₁ = 1 and L₂ = 3. Which one of the options given is TRUE?

The Correct Option is A

Solution and Explanation

Questions Asked in GATE CS exam

The Lucas sequence Ln is defined by the recurrence relation: Ln = Ln−1 + Ln−2, for n ≥ 3, with L1 = 1 and L2 = 3. Which one of the options given is TRUE?

The Correct Option is A

Solution and Explanation

Questions Asked in GATE CS exam

The Lucas sequence L_n is defined by the recurrence relation: L_n = L_n−1 + L_n−2, for n ≥ 3, with L₁ = 1 and L₂ = 3. Which one of the options given is TRUE?