# Help me how to calculate sum of series ?

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Nguyen Trong Nhan on 27 May 2014
Edited: Walter Roberson on 5 Jun 2021
help me how to calculate the sum of a series in Matlab. (for example 2 series in the picture)
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

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 CommentsShowHide 1 older comment
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 CommentsShowHide 1 older comment
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

Kokou Moutchou on 1 May 2018
sqrt(6*((1/1^2)+(1/2^2)+(1/3^2)+...+(1/n^2(

Perwez Alam on 4 Dec 2018
How to write editer command to plot (t,g)
thanking You

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