Describing a sum with a while loop

5 次查看(过去 30 天)
Hello I was woundering how you do this formula for pi as variable s in a while loop.
For example;
n=a big number
s=0
while s<=pi
s=s+n
end
Thanks!

回答(1 个)

Bob Thompson
Bob Thompson 2019-9-30
I'm pretty sure that adding a big number to 0 will bump you over pi on the first iteration, but maybe that's just me. I would do something more like the following:
s = 0;
tmp = 0;
k = 0;
while s<=pi
k = k + 1;
tmp = tmp + (-1/3)^k/(2*k+1);
s = sqrt(12)*tmp;
end
  1 个评论
Steven Lord
Steven Lord 2019-9-30
Of course, this approach assumes you know the answer you're trying to compute.
To approximate pi without actually knowing pi you probably want to loop until the step you're adding is "small enough" for some definition of "small enough".

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