Help me how to calculate sum of series ?

help me how to calculate the sum of a series in Matlab. (for example 2 series in the picture)

[chadi cream]

symsum((sqrt(n+1) - sqrt(n-1))/n^(3/4),n,1,inf)

vpa(ans)

=5.0311555338624769245497524622442

Answer 1

[rifat]

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

[Nguyen Trong Nhan]

what's about the symsum function ?

[Sandie Nhatien Vu]

@Rifat ahmed is it possible to write a script using vectorized computation instead of the for-loop for that sum of series?

Answer 2

[Roger Wohlwend]

n = 1 : 10^6;

sum(((n+1)./n).^n./n.^2)

sum((sqrt(n+1) - sqrt(n-1))./n.^(3/4))

[Nguyen Trong Nhan]

what's about the symsum function ?

[chadi cream]

syms n;
f=1/n^2*((n+1)/n)^n
symsum(f,n,1,inf)
vpa(ans) = 3.550777333936337795612455939406

Answer 3

[Perwez Alam]

How to write editer command to plot (t,g)

Please help me.

thanking You

Answer 4

[Kokou Moutchou]

sqrt(6*((1/1^2)+(1/2^2)+(1/3^2)+...+(1/n^2(