Help me how to calculate sum of series ?
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help me how to calculate the sum of a series in Matlab. (for example 2 series in the picture)
1 Comment
chadi cream
on 22 Dec 2017
Edited: Walter Roberson
on 22 Dec 2017
symsum((sqrt(n+1) - sqrt(n-1))/n^(3/4),n,1,inf)
vpa(ans)
=5.0311555338624769245497524622442
Answers (4)
rifat
on 27 May 2014
Edited: rifat
on 27 May 2014
You can not add infinite number of terms. If the sum is a converging sum, then you can add a large number of terms (e.g. n=5000) to get a satisfactory result.
n=5000;
series1=0;
series2=0;
for i=1:n
p=(((i+1)/i)^i)/(i^2);
series1=series1+p;
p=(sqrt(i+1)-sqrt(n-1))/(i^.75);
series2=series2+p;
end
2 Comments
Sandie Nhatien Vu
on 5 Aug 2016
@Rifat ahmed is it possible to write a script using vectorized computation instead of the for-loop for that sum of series?
Roger Wohlwend
on 27 May 2014
n = 1 : 10^6;
sum(((n+1)./n).^n./n.^2)
sum((sqrt(n+1) - sqrt(n-1))./n.^(3/4))
2 Comments
chadi cream
on 22 Dec 2017
Edited: Walter Roberson
on 5 Jun 2021
syms n;
f=1/n^2*((n+1)/n)^n
symsum(f,n,1,inf)
vpa(ans) = 3.550777333936337795612455939406
Perwez Alam
on 4 Dec 2018
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/198229/image.png)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/198230/image.png)
Please help me.
thanking You
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