Summation of a Fourier series using for loop

Good day, Matlab beginner here so i apologize in advance if this question is really silly.

I have a function x(t) which is the fourier series solution for a certain differential equation. I am trying to create some simple code in which the user can enter the value of t and the number of terms to which they would like to approximate the solution. The function is:

so far i have this:

format long

sum=0;
syms t
syms n
N = input('Please enter the number of terms:')
t = input('Please enter the value of t for which you would like to approximate:')

x = symfun((((-1)^(n+1))/(n*(n^2*pi^2+4)))*sin(n*pi*t),[t n]);

for i=1:N
    sum = sum + (8/pi)*x(t,i)
end

fprintf('x(%t) for %N terms is.\n',name,age);
sum

I am getting back the error:

Error using symfun>validateArgNames (line 239)
Second input must be a scalar or vector of unique symbolic variables.

Error in symfun (line 42)
            y.vars = validateArgNames(inputs);

I suspect the fact that Matlab makes use of vectors is what is confusing me - the error states that the symfun function wants a vector of symbolic variables and i'm currently trying to give it a scalar in the for loop. Could anyone give me a suggestion on what a good way to approach this problem would be? Would i have to populate n with values from 1 to the desired term N and then evaluate the symfun, returning a vector of length N and then add each position in that vector?

Answer 1

[KSSV]

You have defined t as a symbolic variable and later used it as a double..so the error.

   format long
  sum=0;
  syms t
  syms n
  N = input('Please enter the number of terms:')
  tt = input('Please enter the value of t for which you would like to approximate:')
  x = symfun((((-1)^(n+1))/(n*(n^2*pi^2+4)))*sin(n*pi*t),[t n]);
  for i=1:N
      sum = sum + (8/pi)*x(tt,i)
  end
  % fprintf('x(%t) for %N terms is.\n',name,age);
  sum