Summation Using For Loop

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vaninea
vaninea il 11 Mar 2017
Commentato: vaninea il 12 Mar 2017
I am having a hard time solving the following problem:
Here is what I have (for n=10) and I cannot for the life of me get the correct output, which should be 3.14 with a bunch of numbers after it.
clc,clear
format long
ESpi=0;
for k=0:10
ESpi=ESpi+[(-1)^k/(2*k+1)^3];
end
ESpi

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David Goodmanson
David Goodmanson il 11 Mar 2017
Hi vaninea, Don't forget that you are calculating pi^3/32, not pi! Espi equals (appoximately) pi^3/32, so you need to work back from that in order to get to(approximately) pi.
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vaninea
vaninea il 12 Mar 2017
Thanks. Your hint helped a lot. I added a small piece of code to my last line and was able to get the answer. Much appreciated!

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