The product of two consecutive positive integ | vedclass

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Question

(A) Let the two consecutive positive integers be $n$ and $n+1$.Their product is $P = n(n+1)$.Since $n$ and $n+1$ are consecutive integers,one of them

Vedclass · Accepted Answer

True

Vedclass · Answer

(A) Let the two consecutive positive integers be $n$ and $n+1$.Their product is $P = n(n+1)$.Since $n$ and $n+1$ are consecutive integers,one of them must be even and the other must be odd.An even number is always divisible by $2$.Therefore,the product of an even number and an odd number is always even,meaning it is divisible by $2$.Thus,the statement is true.

The product of two consecutive positive integers is divisible by $2$.

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