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This is part of our collection of Short Problems.
You may also be interested in our longer problems on Conjecturing and Generalising.
Weekly Problem 37 - 2013
Which of the statements about diagonals of polygons is false?
What is the value of $2015 \times 2017 - 2016 \times 2016$?
Multiply a sequence of n terms together. Can you work out when this product is equal to an integer?
Choose a couple of the sequences. Try to picture how to make the next, and the next, and the next... Can you describe your reasoning?