Finding the Nth term of a sequence

I am attempting to do the following:

Find the formula for the nth term of the sequence: 1,1,1,1,0,0,0,0...

Find the formula for the nth term for the sequence: 1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,-1,-1,-1,-1,0,0,0,0,-1,-1,-1,-1,0,0,0,0...

I've searched and found videos about the sequence 1,0,1,0,... the sequence 1,0,0,1,0,0,... and the sequence 1,0,0,0,1,0,0,0... but I am struggling when it comes to incorporating the cosine function and when/how much rotation I should be adding per term or if I should be adding cosine functions together.