sum of real numbers up to n using recursive code

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I'm trying to make more sense of recursive code as I have only very recently started using matlab. I was wondering how I would go about finding the sum of all real numbers up to x using recursive code, I have done it using if / for / while loops however after trying to self teach myself I would expect to go about this by:
function y = sum(x)
if x > 0
y = x * (x+1) / 2
end
elseif x <= 0
y = 'does not exist'
end
end
disp(y)
I understand that I am probably wrong, in which case how would I go better about this task. Any help would be appreciated.
  2 Comments
Image Analyst
Image Analyst on 15 Feb 2020
Edited: Image Analyst on 15 Feb 2020
You can edit the code to fix it you know. So go ahead and add the end.
How are you calling this? What is the initial value of x you're using? I assume the x are all integers, right? Is x a scalar or vector? And you have a finite number of them. Because the sum of all real numbers is infinite.
Will Murphy
Will Murphy on 16 Feb 2020
My apologies, x is a scalar what will equal where the integers finish.

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Accepted Answer

David Hill
David Hill on 15 Feb 2020
function x = t_sum(n)
x=1;
if n>1
x=n+t_sum(n-1);%recursive
end

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