## Three Consecutive Numbers

## Formative Assessment

# Three Consecutive Numbers

The numbers 5, 6, and 7 are examples of *consecutive numbers*—that is, each number follows the previous one.

Suppose three consecutive numbers are used in the following way to get a total. The first number plus two times the second number plus three times the third number equals the total.

- Which of the following expressions represent this situation? Select all that apply, and justify your choices.

Total = *x *+ 2*x *+ 3*x*

Total = *x *+ 2*x *+ 2 + 3*x *+ 6

Total = *x *+ 2(*x *+ 1) + 3(*x *+ 2)

Total = *x *+ (2*x *+ 1) + (3*x *+ 2)

- The total is 170. What are the three consecutive numbers? Explain your answer.