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'Magic Potting Sheds' printed from http://nrich.maths.org/
It may be useful to keep a record of your trials.
Try working backwards from the number of plants in the last
garden (remembering that you must always have whole numbers of
plants in the gardens and shed).
Can you have an odd number of plants in each garden? (Look at
the last garden.)
Describing the different stages algebraically may be