i need the curve of this fourier series

can you help me to plot this saw-tooth graph on matlab?

a0 = π

an = 2/n sin(n*π)

bn = -2/n cos(n*π)

this is the full question :

Answer 1

[Karim]

see below for a demo on how to set this up

% set up the x values
x = linspace(-3*pi, 3*pi, 1e3);

% assume 10 terms for the first curve
n = 10;
% initialize with pi
f_10 = pi;

for ni = 1:n
    if mod(ni,2) == 0 
        % add contribution for the even ni
        f_10 = f_10 - 2 * (1/ni).*sin(ni.*x);
    else 
        % add contribution for the odd ni
        f_10 = f_10 + 2 * (1/ni).*sin(ni.*x);
    end
end

% do the same for 100 terms...
n = 25;
f_25 = pi;
for ni = 1:n
    if mod(ni,2) == 0 % even term
        f_25 = f_25 - 2 * (1/ni).*sin(ni.*x);
    else 
        f_25 = f_25 + 2 * (1/ni).*sin(ni.*x);
    end
end

% plot both
figure
plot(x,[f_10;f_25])
grid on
legend("n = 10","n = 25")

[John D'Errico]

Please don't do obvious homework assignments for people that have made no effort of their own.