Solution Found!
he Lucas sequence is defined by L(1) = 1 L(2) = 3 L(n) =
Chapter 3, Problem 32(choose chapter or problem)
QUESTION:
he Lucas sequence is defined by L(1) = 1 L(2) = 3 L(n) = L(n 1) + L(n 2) for n 2 a. Write the first five terms of the sequence. b. Prove that L(n) = F(n + 1) + F(n 1) for n 2 where F is the Fibonacci sequence.
Questions & Answers
QUESTION:
he Lucas sequence is defined by L(1) = 1 L(2) = 3 L(n) = L(n 1) + L(n 2) for n 2 a. Write the first five terms of the sequence. b. Prove that L(n) = F(n + 1) + F(n 1) for n 2 where F is the Fibonacci sequence.
ANSWER:Step 1 of 3
The given Lucas sequence is:
for
The sequence is obtained by using this relation.