Determine which ordered pair is a solution of y = x to the power of 2, minus 2. Choices: (5,21), (-5, 24), (-1, -1), (-2, 6)
2 answers:
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Answer with Step-by-step explanation:
Let us assume the 2 consecutive natural numbers are 'n' and 'n+1'
Thus the product of the 2 numbers is given by
We know that the sum of 'n' consecutive natural numbers starting from 1 is
Thus from equation 'i' we can write
As we know that any number multiplied by 2 is even thus we conclude that the product of 2 consecutive numbers is even.