1.

Water lilies double in area every 24 hours. In spring one water lily on a lake. In sixtydays the lake is completely covered with lilies. How many days did it take to cover halfof the lake?

Answer»

1 2 4 8 161 2^1 2^2 2^3 2^(n-1)a a2^1 a 2^2 ....geometric sequence witha = 1r = 2n = number of days

2^59 = area

2^x = 2^59/2x = n-1 = 58 so 59 dayswhich we could have said right offbecause if you cover the whole lake in 60 days then the day before you must have half the lake covered.



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