Question

Iterations question two need help please :)

Answer 1

Answer:

option b

1 , 16, 121 , 13456

Step-by-step explanation:

Given in the question a function, f(x) = (x - 5)²

initial value $x_{0}$ = 4

First iteration

f(x0) = f(4) = (4 - 5)² = (-1)² = 1

x1 = 1

Second iteration

f(x1) = f(1) = (1 - 5)² = (-4)² = 16

x2 = 16

Third iteration

f(x2) = f(16) = ( 16 - 5)² = (11)² = 121

x3 = 121

Fourth iteration

f(x3) = f(121) = (121 - 5)² = (116)² = 13456

x4 = 13456