Question

Fun question time: If a certain type of bacteria doubles every minute, and takes an hour to fill a jar, how long will it take 2 of that bacteria to fill the same jar?

Answer 1

B{0} = 1; B{n} = 2(B{n-1})

B{1} = 2(1)
B{2} = 2(2(1))
B{3} = 2(2(2(1))) = 2^3
B{4} = 2^4

B{60} = 2^60 = full jar :) for starters

Answer 2

B{0} = 2 ; B{n} = 2B(n-1)

B{1} = 2(2)
B{2} = 2(2(2))
B{3} = 2(2(2(2))) = 2^4

B{n} = 2^(n+1)

2^60 = 2^(n+1) when n+1 = 60; n=59 minutes perhaps?

Answer 3

thats correct! That was the first way I solved it as well, from a mathematical standpoint. Then after thinking about it a little more, I came up with a logical argument. Here are the two solutions.

Answer 4

yep :)

Answer 5

but as we all know; logic has no place in math :)

Answer 6

hahaha