Big Ideas Math Integrated I, 2016
BI
Big Ideas Math Integrated I, 2016 View details
2. Solving Multi-Step Equations
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Exercise 49 Page 18

If we let the first even integer be how can you express a consecutive even integer?

Equation:
Integers:

Practice makes perfect
An even number is a number divisible by Therefore, any even number can be represented by the expression where is some integer. Let's take a look at some examples.
Since even and odd numbers alternate, two consecutive even numbers are at a distance of from one another. If the first of the three consecutive even integers is then the next two are larger by from the one before. We can write that down.
To find the three consecutive even integers whose sum is we need to solve the following equation.
Let's add together these three expressions and then isolate
Let's recall that the three numbers are and If we now substitute for in those expressions, we will have three consecutive even numbers whose sum equals Let's do it.