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).
Solution Stats
Problem Comments
1 Comment
Solution Comments
Show comments
Loading...
Problem Recent Solvers51
Suggested Problems
-
476 Solvers
-
Solve the set of simultaneous linear equations
505 Solvers
-
Sum of diagonal of a square matrix
1642 Solvers
-
1929 Solvers
-
The Answer to Life, the Universe, and Everything
584 Solvers
Problem Tags
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!
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.