Need help creating a loop

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shanon
shanon on 19 Oct 2011
Have to create a function with a loop that formulates pi using Leibniz's formula. It has to ask the user for a positive integer n&then calculate pi to n terms (terms being 4=1 , 4/3= 2, 4/5= 3, 4/7= 4, etc..)
Leibniz's formula says that pi= 4-4/3 +4/5 - 4/7 + 4/9 - 4/11 ....
OR
pi/4= 1 - 1/3 +1 /5 - 1/7 + 1/9 - 1/11...
so far, i thought to put:
function pi= pleibniz (n)
for i= 1:n pi/4=
but then i don't know what to do! please help!

Accepted Answer

Daniel Shub
Daniel Shub on 19 Oct 2011
I wouldn't use a loop to do this (and I love loops).
  1. How could you make z equal the sequence 1, 3, 5, 7, ..., N?
  2. How could you make y equal to 4 times the reciprocal of z?
  3. How could you make x equal to the sum of the "odd" terms of y (i.e., 4/1, 4/5, 4/9, ...) and w equal to the sum of the "even terms of y (i.e., 4/3, 4/7, ...)?
  4. How can you make v equal to the sum of x and u equal to the sum of w?
  5. How can you make t be the difference between v and u?
  5 Comments
Daniel Shub
Daniel Shub on 19 Oct 2011
The problem with using a loop for this question is it doesn't really teach you that much about MATLAB. In fact, I would argue that following the steps that I laid out will teach you a lot more about MATLAB than the loop solution.
If you cannot look at Steven's solution and see that it works without running it, you really haven't solved the problem and the homework is only going to get harder.

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More Answers (2)

Thomas
Thomas on 19 Oct 2011

Steven
Steven on 19 Oct 2011
clear all; clc;
eps = 50; % precision
piOn4 = 1;
for i = 1:eps
piOn4 = piOn4 + (-1)^(i)*(1/(2*i+1))
end
piOn4
  3 Comments
Daniel Shub
Daniel Shub on 19 Oct 2011
Don't overwrite i!!!!!

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