# How to plot recursive function/how to avoid infinite recursion?

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Studentguy on 21 Nov 2023
Edited: Florian Bidaud on 21 Nov 2023
Hey there
Im trying to plot the following equation
a(n+1)=a(n)+b(n+1)*0.0215
where
b(n+1)=b(n)+(9.81/0.94)*sin(a(n))*0.0215
a(0)=65
b(0)=0
Is it possible to plot the first line as a graph in Matlab, untill a reaches reaches 65 again (should be a U shaped curve)?
I've tried a few things but the error message tells me there is an infinite recursion.
Any help is greatly appriciated.
##### 1 CommentShow -1 older commentsHide -1 older comments
Dyuman Joshi on 21 Nov 2023
"I've tried a few things but the error message tells me there is an infinite recursion."
Please share your code you have written yet.

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### Answers (1)

Florian Bidaud on 21 Nov 2023
a(1) = 65;
b(1)= 0;
i = 1;
while a(i)>a(1) || i==1
b(i+1) = b(i) + 9.81/0.94*sin(a(i))*0.0215;
a(i+1) = a(i) + 0.0215*b(i+1);
i = i+1;
end
plot(a)
##### 2 CommentsShow NoneHide None
Studentguy on 21 Nov 2023
Thank you so much!
Florian Bidaud on 21 Nov 2023
Edited: Florian Bidaud on 21 Nov 2023
You're welcome ! Please accept the answer if you're happy with it :)

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