If x is the first of three consecutive even integers, write their sum as an algebraic expression of x. Simplify your answer.

Question

If
x is the first of three consecutive even integers, write their sum as an algebraic expression of x.
Simplify your answer.

Answer 1

2,4,6,8,10,...      are examples of consecutive even integers

Let x = the smallest consecutive integer

Let x + 2 = the middle number

Let x + 4 = the largest consecutive integer

x + x + 2 + x + 4 = 3x + 6

Answer 2

x= even integer then the next even integer is 2 larger

x+2=next consecutive even integer  (then the next one is 2 larger)

x+4 = next consecutive even integer

x + (x+2) + (x+4)

3x + 6