Question

Find the first four iterates of the function f(x) = (x - 5)2 with an initial value of x0 = 4.

a.

4; 19; 645; 12,645

c.

1; 19; 645; 12,645

b.

1; 16; 121; 13,456

d.

4; 16; 121; 13,456



Please select the best answer from the choices provided


A

B

C

D

Answer 1

b. 1; 16; 121; 13,456

Explanation:

A suitable calculator or spreadsheet can compute these for you.

Put the value of x into the formula to find the first iterate. Repeat for successive iterates.

_____

Comment on the answer choices

You can eliminate the first two answer choices because none of the numbers 19, 645, 12645 are perfect squares. You can eliminate the last answer choice because the first term listed is x0, not x1.