A gambler has a strategy in which if they lose at a game, they will bet double the previous bet to make up for what they lost. Assume there is no limit on how much they can bet. They initially bet $10 on the first game. (This is a terrible strategy, and requires already having a lot of money to begin with.)

a) If they lose 13 games in a row, how much money did they lose on the 13th game only?

b) How much money did they lose on all 13 games combined?