Warm UpOn your own paper, solve the

following problem.

Fred just started a new job as a stunt man. He earns $125 per day. How much does he earn after working one day? two days? five days? ten days?

When you solved the problem did you add or multiply?

If you added… If you multiplied…

you used a Recursive formula.

you used an explicit formula

Recursive formulas look like this.

Explicit formulas look like this.

Lets talk about recursive formula notation.

𝑢0= 𝑓𝑖𝑟𝑠𝑡 𝑡𝑒𝑟𝑚So what would a recursive formula for Fred’s

wages look like?

Take

Notes

!

You Try

Write a recursive formula for the following situation:You are helping run a water station at a local marathon. You are put in charge of the water. You start off with 25 gallons of water. You hand out 0.5 gallons per hour.

You Try Again

Write a recursive formula for the following situation:You find a genie that offers to double your money every day for a year. Unfortunately, you only have a penny to start with.

You Try Again

Write a recursive formula for the following situation:You are told that you are 100 yards from the exit. However, you are only allowed to walk half way there every hour.

Time to jump back to Explicit Formula.The forms look like the equations we know. For adding and subtracting we use:

For multiplying and dividing we use:

Try writing both equations for the following situation:

You have recently been challenged to fill a water barrel with small cup that holds 3 ounces of water. The barrel starts with

100 ounces of water in the beginning.