## Act 1

1. How many eyes will there be on day 25?

2. Write down a guess.

Pretty much just an animated Visual Patterns here.

## Act 2

3. What information would be useful to figure this out?

4. Write down some questions you have in your head right now.

Here is a picture of the first 3 days next to each other.

## Act 3

## Sequel

5. Write a formula to describe this situation.

**Common Core Standards**

HSF.BF.A.2

Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms.

**TEKS**

A.12(D)

write a formula for the nth term of arithmetic and geometric sequences, given the value of several of their terms

Can the formula for this be 2^(x+1) ?

Looks good to me! Here’s the Desmos graph to prove it:

http://www.desmos.com/calculator/ch0wcpo31f