Consecutive Integer Word Problems

Front

What are consecutive integers?

Back

Consecutive integers are integers that follow each other in order, without any gaps. For example, -2, -1, 0, 1, 2 are consecutive integers.

Front

How do you represent three consecutive integers algebraically?

Back

Three consecutive integers can be represented as n, n+1, and n+2, where n is any integer.

Front

What is the sum of two consecutive integers?

Back

The sum of two consecutive integers n and n+1 is 2n + 1.

Front

How do you find the largest of three consecutive integers given their sum?

Back

If the sum of three consecutive integers is S, the largest integer can be found using the formula: (S + 2) / 3.

Front

What is the formula for the sum of three consecutive odd integers?

Back

The sum of three consecutive odd integers can be represented as n + (n + 2) + (n + 4) = 3n + 6.

Front

How do you represent three consecutive even integers algebraically?

Back

Three consecutive even integers can be represented as n, n+2, and n+4, where n is any even integer.

Front

What is the relationship between the smallest and largest of two consecutive integers?

Back

For two consecutive integers n and n+1, the smallest integer is n and the largest is n+1.

Front

How do you set up an equation for a word problem involving consecutive integers?

Back

Identify the integers, assign variables, and translate the problem statement into an equation.

Front

What is the solution to the equation x + (x + 1) = 123?

Back

The solution is x = 61, so the two consecutive integers are 61 and 62.

Front

If the sum of three consecutive integers is 0, what are the integers?

Back

The integers are -1, 0, and 1.