Lily Pads Question

Question

Suppose in a pond we have found an invasive species of lily pad that reproduces once per day. In

other words, on day 1 we have one lily pad, on day 2 we have 2, on day 3 we have 4, on day 4 we have 8, on

day 5 we have 16...and so on. It takes 60 days for the pond to be covered completely. What day will the pond cover only 1% of the pond?

Answer 1

On day 60 100%

on day 59 50%

day 58 25%

day 57 12.5%

day 56 6.25

day 55 3.125

54 1.5625

53 0.78125%

On the 53rd day less than 1% but 1% if rounded off to nearest percent

On day 54 over 1.5% is covered