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
-
Find the longest sequence of 1's in a binary sequence.
6857 Solvers
-
Return the 3n+1 sequence for n
8539 Solvers
-
Sort a list of complex numbers based on far they are from the origin.
5821 Solvers
-
Return the first and last characters of a character array
12496 Solvers
-
Find the maximum number of decimal places in a set of numbers
3615 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.