I need help writing a matlab function
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I need help writing a Matlab function that takes a positive integer n as its argument, and returns the sum of all odd numbers between 1 and n.
1 Comment
Jan
on 15 Jan 2017
Please clarify, if this is your homework. If so posting a solution might be counter-productive, because you would cheat if you deliver it. Even if it is a homework question, posting what you have tried so far and asking a specific question would be useful. Because asking for explanations is not a cheating instead of letting others solve your work.
Accepted Answer
John BG
on 13 Jan 2017
Hi Mateo
what about this
function sn=sum_odds(n)
narginchk(1,1);
if(n<0) || (n==0)
error(message('input error n<=0'));
end
if abs(n-floor(n))>0
error(message('input not +int'));
end
sn=sum([1:2:n])
% if rem(n,2)==0
% sn=sum([1:2:n-1])
% end
%
% if rem(n,2)>0
% sn=sum([1:2:n])
% end
end
if you find these lines useful would you please mark my answer as Accepted Answer
To any other reader, if you find this answer of any help please click on the thumbs-up vote link,
thanks in advance for time and attention
John BG
5 Comments
Walter Roberson
on 15 Jan 2017
Should we assume that it is a homework question: Yes. Nothing is lost by assuming that for something that looks like homework. The person who posted the question can also provide clarification afterwards that might potentially lead to someone posting a more complete solution, but an overcomplete solution cannot be withdawn.
More Answers (2)
Jan
on 13 Jan 2017
Do you remember how Gauss calculated the sum over all elements from 1 to n? You can modify the method to use only the pairs of odd numbers. This reduces the compuations drastically and you should never process the dull sum.
3 Comments
Jan
on 15 Jan 2017
Edited: Jan
on 15 Jan 2017
I do not post the solution, because I assume, that this is a homework question. I even did not mention, that asking an internet search engine for the terms "sum of odd numbers" reveals the main part of the solution already: The sum of N odd numbers is N^2.
@Stephen: The step size 1 is not required in vectors, so this is enough: sum(1:100). This does not influence the computing time but is nicer . The leaner the code, the less chances for a typo... :-)
Walter Roberson
on 15 Jan 2017
Assuming N odd,
1 + 3 + 5 +... N
N + (N-2) + (N-4) +... 1
Each pair adds to N+1. Count the pairs and multiply by that. Then divide by 2 because each pair is being counted twice.
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