After a boy complains for several days about his allowance, his father tells the boy that he will give him a choice. If he agrees to do his chores every day, the father will increase his allowance. However, the boy must choose between two payment plans.


Plan A: $15 per month for one year

or

Plan B: $.01 on the first week, $.02 on the second week, $.04 on the third week, $.08 on the fourth week, $.16 on the fifth week, and so on for one year.

The boy chose Plan A. Why was this a mistake?