Mr. and Mrs. Brady asked Marcia, Jan and Cindy how they would like to get their allowance. The first choice is to get a penny on day one, two pennies on day two, four pennies on day three, and so on, doubling every day. The second choice is to get a dollar on day one, two dollars on day two, three dollars on day three, and so on, adding a dollar each day. Cindy decides to get double each day starting with a penny because she LOVES pennies, and Marcia decides to get an extra dollar each day...she can’t be bothered with all those pennies. Jan, not wanting to have the same amount of allowance of either of her sisters, asks for a third option. She would like the first choice plus a nickel each day. After three weeks, who has more money? Who is the smarter Brady Girl? Prove your answer two different ways Write an algebraic expression for each of the three options.