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How many jumps does it take to make it all the way across a 100 foot long pond?

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Frogger the magic frog can jump 10 feet using his magical magic jump, but his magic loses its power by a half each time, so his next jump only goes as far as 5 feet. The next jump will take him 2.5 feet, and so on.
How many jumps does it take to make it all the way across a 100 foot long pond?

posted Jul 14, 2014 by Pushpak Chauhan

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1 Solution

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It will never reach even 20 feet.

10+5+2.5+1.25+.625.... which is always less then 20 so frog can never able to cross the pond.

solution Sep 14, 2015 by Salil Agrawal



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