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.
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
A.12(D)
write a formula for the nth term of arithmetic and geometric sequences, given the value of several of their terms
When Math Happens 
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