Question

5. Prove that the product of two consecutive positive integers is divisible by 2.
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Answer 1

Step-by-step explanation:

Let the two consecutive positive integer be 2x and 2x+1.

product,

2x(2x+1)

=4x²+2x

=2(2x²+x)

Hence it is divisible by two.

Therefore, the product of two consecutive positive integer is divisible by two