Mathematics
Take any three consecutive even numbers and find their product; for example, 2 × 4 × 6 = 48, 4 × 6 × 8 = 192, and so on. Make three conjectures about these products.
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Answer
Let three consecutive numbers be 8, 10 and 12.
Product = 8 × 10 × 12 = 960.
Three possible conjectures are:
(i) The product of any three consecutive even numbers is even.
(ii) The product of any three consecutive even numbers is divisible by 4.
(iii) The product of any three consecutive even numbers is divisible by 6.
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