Math Problem Statement

Choose the set of expressions that represents any set of 3 consecutive integers.

Question 1Select one:

x , x−2 , x−4

1 , 2 , 3

x , y , z

x−1 , x , x+1

Solution

The set of expressions that represents any set of 3 consecutive integers is:

x1,x,x+1x - 1, x, x + 1

Explanation:

  • Consecutive integers differ by 1.
  • If xx represents the middle integer, then the consecutive integers would be x1x - 1, xx, and x+1x + 1.

Do you want more details or have any questions?

Here are 5 related questions to expand on this concept:

  1. What is the general formula for any set of 4 consecutive integers?
  2. How would you express the sum of three consecutive integers algebraically?
  3. How do you find the middle integer in a set of 3 consecutive integers if given their sum?
  4. How can you use consecutive integers to solve word problems involving ages?
  5. How does the concept of consecutive odd or even integers differ from consecutive integers?

Tip: When working with consecutive integers, always remember that the difference between any two consecutive integers is 1.

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Math Problem Analysis

Mathematical Concepts

Algebra
Consecutive Integers

Formulas

x - 1, x, x + 1

Theorems

Concept of consecutive integers (difference of 1 between each number)

Suitable Grade Level

Grades 6-8