Samples in generating a given signal

We have to generate 128 samples of sinusoid with frequency of 3000 Hz, amplitude of 0.8 and sampling rate is 8000 Hz. The correct codes were:

>> Fs = 8000; 
>> t = [0:127]/Fs; 
>> y = 0.8*sin(2*pi*3000*t); 
>> plot(t,y); 

I just want to know why is it 127 and not 128? Thank you so much in advance :)

Answer 1

[Scott MacKenzie]

There are 128 values in the vector [0:127]:

0, 1, 2, 3, ... 126, 127

If the vector was defined using the term 128, as in your question, there would be 129 terms:

0, 1, 2, 3, ... 127, 128