First one :
x2 = (x1)^2 - x1
x2 = (1)^2 - (1)
x2 = 0
x3 = (x2)^2 - x2
x3 = (0)^2 - 0
x3 = 0
This pattern of 0's will repeat indefinitely...so...the pattern is 1,0,0,0.......
Second one
x2 = (x1)^2 - x1
x2 = (-1)^2 - (-1)
x2 = 1 + 1
x2 = 2
x3 = (x2)^2 - x2
x3 = (2)^2 - 2
x3 = 4 - 2
x3 = 2
This pattern of 2's will repeat indefinitely....so....the pattern is -1, 2, 2, 2......
Last one
x2 = ( 1 - √2)^2 - (1 - √2)
x2 = (1 - 2√2 + 2) -1 + √2
x2 = 2 - √2