Skip to main content

Problem 2:projecteuler.net: Matlab :find the sum of the even-valued fibonacci terms

ProblemEach new term in the Fibonacci sequence is generated by adding the previous two terms. By starting with 1 and 2, the first 10 terms will be:1, 2, 3, 5, 8, 13, 21, 34, 55, 89, ...By considering the terms in the Fibonacci sequence whose values do not exceed four million, find the sum of the even-valued terms. Solve the problem using MATLAB.

Solution: To solve this problem we will use the previously created fibon.m program to generate all the even fibonacci numbers whose values are less than 4 million. We will sort out the even fibonacci numbers and finally find the sum of all the even fibonacci numbers.

If you have not seen the previous post of the fibon.m function then click here: Fibon function

The program is as follows:



%This script generates even fibonacci numbers
%Here we will use the function fibon which was created earlier

%create a vector with fibonacci numbers
fib = fibon(4000000);

%create an empty vector to store the values of eve fibonacci numbers
evenfibon = [];

%Create a for loop to loop through all the values of the fib vector
for i = 1:length(fib)
    if rem(fib(i),2) == 0
        evenfibon = [evenfibon fib(i)];
    end
end

solution = sum(evenfibon);
fprintf('The sum of the even fibonacci numbers whose values are less than 4 million is %d\n',solution);

Download a copy of this program from here: evenfib.m

A detailed explanation with of the above problem in pdf format can be obtained from here: problem2_projecteuler_matlab.pdf

This problem is taken from projecteuler.net and can be found here: problem2.

The above code was formatted using hilite.me.
Run the program and comment below the output you are getting for a given input
Keywords: Projecteuler.net, problem2, sum of even fibonacci numbers, fibonacci numbers

Popular posts from this blog

Problem 60 Project Euler Solution with python

Prime pair sets The primes 3, 7, 109, and 673, are quite remarkable. By taking any two primes and concatenating them in any order the result will always be prime. For example, taking 7 and 109, both 7109 and 1097 are prime. The sum of these four primes, 792, represents the lowest sum for a set of four primes with this property. Find the lowest sum for a set of five primes for which any two primes concatenate to produce another prime. This problem is j u st a brute force problem. If you have come here because you don't know the limit upto which you will h ave to gener ate the prime numbers t hen go ahe ad and t r y with 10,000 . When I first start ed solving the problem I chose 1 million(beca use most of the problem s on project E uler have this limit ), but it took very long for the computer to fin d the solution. After searching on the internet then I found many people choosing 10, 000 so I have changed my in put f rom 1 million to 10000 and the output was f ast. He...

Add/Embed SVG to Blogger website

In this post I will tell you my method(trick) of adding SVG images in a blogger website or blog. Before starting , the first thin g I am assu m ing is that you are aware of SVG if you are here. If not please see S calable V ec tor G raphics Recently when I tried to embed a SVG image for a post on pygal, I tried uploading the SVG file and blogger Image uploader came up with an error, because of which I had to find some other way.  SVG File upload Error in Blogger  I started sea rc hing Google " Embed SVG in Blogger " . I found blogorrhea , w h ich gave some i nformatio n on add ing SVG directly as a markup , which worked , but I faced another problem using this . Also th is guy has used lot of Javascript which was confusin g for me, being new to using SVG.   So I first t houg ht of learning on h ow to embed SVG in HTML and t his on e worked out. Actually we can embed SVG in HTML i n following ways: Using Object tag Using Iframe tag Using embed...

Making a quiz web app with python and flask

Edit : When you are creating a web app with h tml templates, then y ou will have to sa ve the html file in templates folder in the Current Wor ki ng Directory( CWD). If you save the file in the C W D directl y you will get a TemplateNotFound error. Thank you Udhay for pointing it out.   In this post we will create a quiz website using python . I will be using the flask framework . After reading this tutorial you will learn form submission , flask templates , python code in flask templates , shuffling the questions and options with the random module and few others.  Please note that this tutorial is not big as it seems to be. Some of the code has been rewritten to maintain consistency and also font size is somewhat big so that your eyes won't get stressed reading this tutorial. Also the content has not occupied the full width of the page. In this tutorial I am assuming that you are having a very basic understanding of the flask framework . Please refer the documenta...