The Penny That Doubles
If you ask a person if they would rather have a million dollars or a penny that would double every day for thirty days, the person in question would likely pick the 1 million dollars. However when you look at what happens to a penny that doubles as aforementioned, you’ll see why choosing the penny would be the better choice.
The following illustrates how the amount of money, starting from 1 penny, increases everyday for 30 days.
Day 1: $.01
Day 2: $.02
Day 3: $.04
Day 4: $.08
Day 5: $.16
Day 6: $.32
Day 7: $.64
Day 8: $1.28
Day 9: $2.56
Day 10: $5.12
Day 11: $10.24
Day 12: $20.48
Day 13: $40.96
Day 14: $81.92
Day 15: $163.84
Day 16: $327.68
Day 17: $655.36
Day 18: $1,310.72
Day 19: $2,621.44
Day 20: $5,242.88
Day 21: $10,485.76
Day 22: $20,971.52
Day 23: $41,943.04
Day 24: $83,886.08
Day 25: $167,772.16
Day 26: $335,544.32
Day 27: $671,088.64
Day 28: $1,342,177.28
Day 29: $2,684,354.56
Day 30: $5,368,709.12
The final amount is over 5 million dollars!