Exit Quiz

Question 1 of 6
1 of 6
Arrange these statements into the correct order to prove: "For any three consecutive even integers, the difference between the squares of the first and the last number is 8 times the middle number".
Click and drag answers to change the order, or select using Tab then move by pressing Space and the arrows on your keyboard.
Therefore we have proven the original statement.
$$16n + 16$$
The middle number was $$2n +2$$ so this is 8 times that.
$$4n^2+16n + 16 - 4n^2$$
$$8(2n + 2)$$
$$(2n+4)^2-(2n)^2$$
There are 3 consecutive even integers $$2n, 2n+2, 2n+4$$ ($$n$$ is an integer).
Make sure the proof starts with a generalisation and finishes with a conclusion.