# Lesson Worksheet: Iterated Functions Mathematics

In this worksheet, we will practice using an iterative formula to approximate the roots of an equation.

**Q3: **

We can iterate a function using the recursive formula . Find the positive fixed point.

- A
- B1
- C
- D
- E2

**Q4: **

We can iterate the function using the recursive formula with initial value . Find .

**Q5: **

We can iterate the function using the recursive formula with initial value . Find .

**Q6: **

True or False:

The recursive formula of the function can produce an even number with initial value .

- AFalse
- BTrue

**Q7: **

Michael saves $100 every month. The savings of the current month can be calculated with the recursive function , where is the savings of the previous month. Find the savings of the 4th month given that his initial savings were $1,000.

**Q8: **

We can iterate the function using the recursive formula with initial value . Find .

**Q9: **

We can iterate the function using the recursive formula with initial value . Find to the nearest two decimal places.

**Q10: **

We can iterate the function using the recursive formula with initial value . Find .