Question

state whether the product of two consecutive integers is even or odd

Answer 1

answer is even...
now let's consider n as an even number.
then the 2 no.s will be n and n+1
now multiply
n(n+1) = n²+n
here n² is even and n is also even, so their sum is also even.
now take n as an odd no.
then we got n²+ n
here n² is odd , become n is odd . and n is also odd and odd + odd gives even.
hence proved that product of 2 consecutive integers is always even

Answer 2

The product would be even