Problem 2187. Generalized Fibonacci

Created by Daniel lefebvre

Solve Later

The Fibonacci sequence is defined as:
Fib(1) = 0
Fib(2) = 1
Fib(N) = Fib(N-1) + Fib(N-2)
The Fibonacci sequence can be generalized as follows:
Fib_gen(1) = a
Fib_gen(2) = b
Fib_gen(N) = Fib_gen(N-1) + Fib_gen(N-2)
where 0 <= a <= b
Moreover it can be shown that
Fib_gen(N) = k(1) * Fib(N) + k(2) * Fib(N+1)
Given a and b find k(1) and k(2).

Solve

Solution Stats

98 Solutions
48 Solvers

Last Solution submitted on Nov 30, 2023

Last 200 Solutions

Problem Comments

1 Comment

1 Comment

Rafael S.T. Vieira on 4 Sep 2020

It is true that Fib_gen(N) = k(1) * Fib(N) + k(2) * Fib(N+1) for some k, but the problem is actually requesting Fib_gen(N) = k(2) * Fib(N) + k(1) * Fib(N-1) for another k. If one is still in doubt, generate the two sequences and look at the expected answer.

Solution Comments

Show comments

Problem Recent Solvers48

Problem Tags

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!