Question

prove that the product of two consecutive positive integers is divisible by 2​

Answer 1

Answer:

The product of two consecutive positive integers is divisible by 2. Using this theory, consider p and (p+1) as two consecutive numbers where p=2q+1 and q=4.

Answer 2

Step-by-step explanation:

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hey mate

we know that any number divisible by 2 can be written as 2n(n is any number)

so suppose we have two consecutive number n and n+1.

here if n is odd then n+1 must be even

and if n is even then it will be easily divisible by 2

so we conclude that

product of two consecutive number is divisible by 2

Hope it helps ✌