Zombies vs Humans A few years ago NSC student body organized a Zombies vs humans tag game. Whoever played the game was wearing a red bandana: a person wearing the bandana in the arm was still a human a person wearing the bandana in the head was a zombie Humans were converted to zombies if they were tagged by a zombie. You could also throw a sock (hopefully a clean sock) to a zombie to protect you. If you hit a zombie with a sock, the zombie was out of play for 30 seconds, giving you time to run , hide, or move to a safe zone (classroom, bathrooms, etc were safe zones). You had to provide your own socks. The game started with only one zombie. Let's assume that each day, each zombie tagged 2 new humans. Fill the table below to find out the total number of zombies at day ( use as our starting day). day 0 1 2 3 4 total number of zombies 1 Can you find a formula for the number of zombies after day ? After how many days will the number of zombies reach 100? Assume this game was played in all Seattle, after how many days will the number of zombies reach 1000?
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