Question

You promise your daughter that you will give her $3 for her first birthday and double that amount every year until she is 12 years old. How much money will you owe her on her 12th birthday?

Answer 1

Have you considered working it out?
1st -- 3
2nd -- 3*2
3rd -- 3*2*2 = 3*(2^2)
4th -- 3*(2^3)

I'm seeing a pattern.