Hello,
I'd like to plot this function of x (latex code):

x/2 + sum_{r=1}^n cos(rx)

for some fixed n.
//A//

First, sum is designed for formal sum, not for truncate sum even if sometimes it's possible.
But add is designed for these sums.

Second, expression doesn't evaluate the add(...) function.

Third, I think you want to change n0...

So I propose a function s (in Python), not a function coming from expression.

k = var('k');
def s(x,n) :
   return x/2 + add (cos(k*x) for k in [1..n])

n0 = 5;
plot(s(x,n0),(x,0,pi))

//B//

You use Sage, not Maple. You must forget semicolon at the end.

//C//

After var('n'), it seems that your code is right in the last Sage.
But I remain very careful about sum in order to get a1+a2+a3+...+a50.

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