Help me how to calculate sum of series ?

525 views (last 30 days)
Nguyen Trong Nhan
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)
  1 Comment
chadi cream
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

Sign in to comment.

Answers (4)

rifat
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
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?

Sign in to comment.


Roger Wohlwend
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
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

Sign in to comment.


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

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

Products

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Translated by