Write a program to approximate the innite series k0 1 2k 14

Write a program to approximate the innite series k=0 (1/ (2k + 1)^4).

i need matlab or octave code

Solution

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;

format long
series1=0;
for i=1:n
p=1/((2*i+1)^4);
series1=series1+p;

end

used format long and compared.

n=5000

1.014678031604056

n=50000

1.014678031604056