How do I write the following summation for power series in code ?

I need to solve for the above power series and plot the solutions from the above formula against radius.

‘a’ is the coefficeint in the power series and ‘p’ is a dimensionless radial coordinate, n= 0 ,1,2, …, infinity.’q’ is a pressure term.

Also, I have found the values of ‘a’ for a0 , a2 , a4 , so how do I code the above formula such that the specific values of ‘a’ are called as well as the summation is done?

NOTE:-

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Hi, I understand that you are trying to compute the above function for a specific value of ‘p’ . Assuming that you have coefficients stored in an array in the format

a = [a0 a2 a4 so on..];

You can try to sum first 100 terms or till the available coefficients.

Here is the code for it

for i = 1:size(a)
    Wp = Wp + a(i)*(1 - p^(2*i +2));
end
Wp = Wp * q^(2/3);

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How do I write the following summation for power series in code ?

How do I write the following summation for power series in code ?