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 May 26th, 2013, 04:59 AM #1 Senior Member   Joined: May 2013 Posts: 109 Thanks: 0 Calculate the time A lizzard has a 100 km distance to cover. If each day he covers half of the distance he covered the day before, how many days does he need to reach his goal, knowing that in the first day he covered 50km?
 May 26th, 2013, 12:41 PM #2 Global Moderator   Joined: May 2007 Posts: 6,820 Thanks: 722 Re: Calculate the time ?. He'll never make it.
 May 26th, 2013, 01:39 PM #3 Senior Member   Joined: Sep 2012 From: British Columbia, Canada Posts: 764 Thanks: 53 Re: Calculate the time Yes, this is the infinite geometric sequence $\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}+. ..$ of which the sum converges to 1.
 May 26th, 2013, 01:47 PM #4 Senior Member   Joined: Sep 2012 From: British Columbia, Canada Posts: 764 Thanks: 53 Re: Calculate the time
 May 26th, 2013, 08:21 PM #5 Math Team   Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 14,597 Thanks: 1038 Re: Calculate the time
 May 27th, 2013, 12:18 PM #6 Global Moderator   Joined: May 2007 Posts: 6,820 Thanks: 722 Re: Calculate the time The question is posed in an unusual way. Normally the paradox is resolved because the lizard is assumed to be traveling at a constant speed. This question has the lizard every day going at half the speed of the day before. That's why he'll never get there.

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