Question

1. find the first 3 iterates of the function $f(x) = 0.80x$ when $x_0 = 150$. 120, 96, 76.8 150, 120, 96 30, 54, 73.2 187.5, 150, 120

Explanation:

Step1: Calculate first iterate

$x_1 = f(x_0) = 0.80 \times 150 = 120$

Step2: Calculate second iterate

$x_2 = f(x_1) = 0.80 \times 120 = 96$

Step3: Calculate third iterate

$x_3 = f(x_2) = 0.80 \times 96 = 76.8$

Answer:

120, 96, 76.8