Question

Need help. It’s iterations and all info should be on image

Answer 1

a) Using the given recurrence,

$x_2 = \dfrac{{x_1}^3-1}4 = \dfrac{(-1)^3-1}4 = -\dfrac12 = -0.5$

$x_3 = \dfrac{{x_2}^3-1}4 = \dfrac{\left(-\frac12\right)^3-1}4 = -\dfrac9{32} = -0.28125$

b) Proceeding as above, you'll find that successive values of $x_n$, starting at n = 7, gravitate towards a solution of about -0.254102.