Extending the number of terms in a specific sequence.

Hello all,

Im trying to add a larger number of terms to the sequence labeled as 'Base' in the code below and display them together however my extended sequence doesnt match as closely to the base form as i was expecting, would it be possible for someone to verify if i've done it correctly / point out errors in my code?

T = 1;
w = 2*pi*(1/T);
t = linspace(0 , 3*T, 1000);
max_harmonics = 11;

Base = zeros(size(t));
Base = sin(w*t) - (1/9)*sin(3*w*t) + (1/25)*sin(5*w*t) - (1/49)*sin(7*w*t);
Base = Base + (1/(9.^2))*sin(9*w*t) - (1/(11.^2))*sin(11*w*t);

synth_f1 = zeros(size(t));
for n = 3:4:max_harmonics
    
    synth_f1 = synth_f1 - (1/(n*n))*sin(n*w*t) + (1/((n+2).^2))*sin(n*w*t);
    
end
synth_f1 = sin(w*t) + synth_f1;

plot(t, synth_f1, 'r-', t, Base, 'b--' );

Answer 1

[per isakson]

A copy&paste mistake:

synth_f1 = synth_f1 - (1/(n*n))*sin(n*w*t) + (1/((n+2).^2))*sin((n+2)*w*t);
%                                                               ^^^^^   

[Oscar Kilby]

Oh i see it now, thank you.