Problem 44311. Number of Even Elements in Fibonacci Sequence
Find how many even Fibonacci numbers are available in the first d numbers.
Consider the following first 14 numbers
1 1 2 3 5 8 13 21 34 55 89 144 233 377 ...
4 of them are even.
Solution Stats
Problem Comments
-
7 Comments
Big number is a problem. Instead we can find the regular pattern in which those even and odd numbers appear. Then everything becomes simple and easy.
Gorgeously simple once you figure it out
hint: copy and paste the first few test suites into your MATLAB console and try plotting it with ':o'
My solution is working in my local computer but is not consistent with Test Suites starting from d = 100. I don't still get the answer.
You dont need generate all d fibonacci number to find the numbers of even.Think like that 2 odd fibonacci numbers will make a even number
like 1 1 make 2, and 3 5 make 8.So 3 numbers in group will have a even number
Not a hard problem at all lol
The Tran Tran comment is the key to solve the problem.
interesting - I never noticed the groups of 3
Solution Comments
Show commentsProblem Recent Solvers1266
Suggested Problems
-
1509 Solvers
-
Make a random, non-repeating vector.
9153 Solvers
-
Piecewise linear interpolation
540 Solvers
-
Change the sign of even index entries of the reversed vector
536 Solvers
-
Find x rows where the sum of the numbers is the maximum
422 Solvers
More from this Author92
Problem Tags
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!