Question

show that the product of any three consecutive positive integers ​

Answer 1

Step-by-step explanation:

Let n (n +1) and (n + 2) are three consecutive positive integers. Then their product is n (n +1)(n+2). Since any positive integer is of the form 6q or 6q + 1 or 6q + 2 or 6q + 3 or 6q + 4, 6q + 5. n (n + 1) (n + 2) = 12 (3q + 1) (2q + 1) (3q + 2), Which is divisible by 6.

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