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GCSE Maths Bad Tomato Investigation A problem has been reported involving Bad tomatoes. At first there is a tray of regular tomatoes, then, all of a sudden, one of them goes bad. An hour later, all of the ones that were touching the bad tomato go bad. An hour after that all the tomatoes touching those go bad. This continues until the whole tray goes bad. To start this investigation I am going to use a simple 4x4 box. Let's say, after one hour, a tomato goes bad. This is marked 1. After the second hour all those touching it go bad, those are marked 2 and so on. 2 3 4 5 1 2 3 4 2 3 4 5 3 4 5 6 With a 4x4 tray, the time taken from the tomatoes being put into the tray to the last tomato going rotten is 6 hours. Hour No. of bad toms after that hour No. of tomatoes that turn bad that hour 0 0 0 1 1 1 2 4 3 3 8 4 4 12 4 5 15 3 6 16 1 A pattern is beginning to form in...

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