Question 449813: A mouse decides to journey to a cheese factory that is "n" miles away. On the first day, it travels 0.5 og the distance. On the second day, it travels 0.5 of the remaining distance. On the third day, it travels 0.5 of the remaining distance. Of the mouse continues to travel in this pattern, how many days will the journey to the factory take?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A mouse decides to journey to a cheese factory that is "n" miles away. On the first day, it travels 0.5 og the distance. On the second day, it travels 0.5 of the remaining distance. On the third day, it travels 0.5 of the remaining distance. Of the mouse continues to travel in this pattern, how many days will the journey to the factory take?
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The limit is (1/2)+(1/4)+(1/8)+....(1/2)^n = 1 (the whole distance)
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But this is the limit as n goes to infinity.
So the number of days is infinite.
Cheers,
Stan H.
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