Iteration Lesson 2

Question 1

An iteration formula looks like

Answer 1

Xn+1 = 4√6Xn

Question 2

If X0 is 5, using the iteration formula

To find X1, X2, X3 to 3dp

Answer 2

First:

4√6Xn

4 √6x4

Second:

x1 = 2.213(3dp)

Third:

Tap equals again on the calculator

Fourth:

x2 = 1.901

Finally:

x3 = 1.840

Question 3

Silver example

starting with x0 = 4 use the iteration formula to find an estimate for the solution.

Round to 3sf.

Answer 3

4√6x4(ans)

until we get a stable 3dp

Finally:

Answer is 1.817(3dp)