Math Problem Statement

If x represents the​ first, or

the smallerthe smaller​,

of

twotwo

consecutive

integersintegers​,

express the sum of the

twotwo

integers in terms of x.

Solution

Let's denote xx as the first or smaller of the two consecutive integers.

For consecutive integers, the second integer would be x+1x + 1.

Expression for the sum of the two integers:

Sum=x+(x+1)\text{Sum} = x + (x + 1)

Simplify the expression:

Sum=x+x+1=2x+1\text{Sum} = x + x + 1 = 2x + 1

So, the sum of the two consecutive integers in terms of xx is:

2x+1\boxed{2x + 1}

Would you like a detailed explanation or have any questions?

Here are some related questions you might find interesting:

  1. How would you express the product of two consecutive integers in terms of xx?
  2. If the sum of two consecutive integers is given, how do you find the integers?
  3. What happens if the integers are not consecutive but have a fixed difference?
  4. How would you solve if one of the integers is odd and the other is even?
  5. How do you represent three consecutive integers using xx?

Tip: For any sequence of consecutive integers, the difference between them is always 1.

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Math Problem Analysis

Mathematical Concepts

Algebra
Consecutive Integers
Summation

Formulas

Sum of two consecutive integers: x + (x + 1) = 2x + 1

Theorems

Basic Algebraic Summation

Suitable Grade Level

Grades 6-8