# How do you Find the three consecutive even numbers such that the sum of the first and the third is twice the second?

##### 1 Answer

Mar 14, 2018

True for any three consecutive even numbers.

#### Explanation:

Even numbers are of the form

Let's consider three consecutive even numbers

"The sum of the first and the third is twice the second".

Algebraically, we would express this as:

Expanding out the parentheses:

Collecting like terms:

Both sides of the equation reach an equality.

This means that, for any three consecutive even numbers, the sum of the first and the third is always twice the second.